Updated on 2024/07/28

Information

 

写真a

 
BREZINA JAN
 
Organization
Faculty of Arts and Science Division for Theoretical Natural Science Associate Professor
School of Interdisciplinary Science and Innovation Department of Interdisciplinary Science and Innovation（Concurrent）
Title
Associate Professor
Contact information
メールアドレス
Tel
0928026033
Profile
At this point I focus on my educational and research activities. Mainly I'm trying to find a better way to teach mathematics to non-math major students and partially in response to Covid-19 situation I'm looking into the combination of on-line learning and in class group work and its future use in university education. I'm a part of several working groups and committees in the School of Interdisciplinary Science and Innovation where I work on development and improvement of classes, modern teaching methods and approaches. I 'm looking into new areas of research related to astrophysical fluid dynamics, learning new techniques and finding ways to utilize my past knowledge with new challenges in research. I 'm working on expanding my cooperation with researchers in Japan and abroad in the other fields than just mathematics.
External link

Degree

  • PhD

Research History

  • Kyushu University 2013 - 2014 Tokyo Institute of Technology 2014 - 2018   

Research Interests・Research Keywords

  • Research theme： My research is mainly concerned with the qualitative theory of partial differential equations coming from fluid mechanics. At this point my focus is on the two most profound models - Navier-Stokes-Fourier system and complete Euler system of equations. These describe the motion of viscous and inviscid fluids including the heat transfer, respectively. Even after literally hundreds of years of systematical study by some of the brightest minds of their time, the mathematical knowledge about these models and their isentropic simplifications is still rather limited、especially in the "natural" 3 dimensional setting. The gap between math, physics, modelling and numerics is opening every day as in mathematics one has to balance between the complexity of the model (its accuracy in application) and the abilities of state-of-art tools and ideas of mathematical analysis. In my research I strive to create mathematical tools that could narrow the gap a little.

    Keyword： Navier-Stokes system, Euler system, measure-valued solutions, qualitative theory, boundary conditions

    Research period： 2015.6

Awards

  • Kyushu Young Mathematician Prize

    2014.2   Mathematical Society of Japan - Kyushu branch  

Papers

  • On convergence to equilibria of flows of compressible viscous fluids under in/out-flux boundary conditions Invited Reviewed International journal

    Brezina Jan, Feireisl Eduard, Novotny Antonin

    Discreet and Continuous Dynamical Systems   41 ( 8 )   3615 - 3627   2021.8

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.3934/dcds.2021009

  • Low stratification of the complete Euler system Invited Reviewed International journal

    Brezina, Jan; Macha, Vaclav

    JOURNAL OF EVOLUTION EQUATIONS   21 ( 1 )   735 - 761   2021.3

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s00028-020-00599-6

  • Non-uniqueness of delta shocks and contact discontinuities in the multi-dimensional model of Chaplygin gas Invited Reviewed International journal

    Brezina Jan, Kreml Ondrej, Macha Vaclav

    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS   28 ( 2 )   2021.3

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s00030-021-00672-0

  • Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions Reviewed International journal

    Jan Brezina, Eduard Feireisl, Antonin Novotny

    Communications in Partial Differential Equations   2020.9

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

  • Existence of measure-valued solutions to a complete Euler system for a perfect gas

    Jan Brezina

    RIMS Kôkyûroku   2020.1

    　More details

    Language：English   Publishing type：Research paper (other academic)  

  • Inviscid limit for the compressible Euler system with non-local interactions Reviewed

    Jan Brezina, Václav Mácha

    Journal of Differential Equations   2019.1

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    The collective behavior of animals can be modeled by a system of equations of continuum mechanics endowed with extra terms describing repulsive and attractive forces between the individuals. This system can be viewed as a generalization of the compressible Euler equations with all of its unpleasant consequences, e.g., the non-uniqueness of solutions. In this paper, we analyze the equations describing a viscous approximation of a generalized compressible Euler system and we show that its dissipative measure-valued solutions tend to a strong solution of the Euler system as viscosity tends to zero, provided the strong solution exists.

    DOI： 10.1016/j.jde.2019.05.012

  • Measure-valued solutions to the complete Euler system revisited Reviewed

    Jan Brezina, Eduard Feireisl

    Zeitschrift fur Angewandte Mathematik und Physik   69 ( 3 )   2018.6

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    Language：English   Publishing type：Research paper (scientific journal)  

    We consider the complete Euler system describing the time evolution of a general inviscid compressible fluid. We introduce a new concept of measure-valued solution based on the total energy balance and entropy inequality for the physical entropy without any renormalization. This class of so-called dissipative measure-valued solutions is large enough to include the vanishing dissipation limits of the Navier–Stokes–Fourier system. Our main result states that any sequence of weak solutions to the Navier–Stokes–Fourier system with vanishing viscosity and heat conductivity coefficients generates a dissipative measure-valued solution of the Euler system under some physically grounded constitutive relations. Finally, we discuss the same asymptotic limit for the bi-velocity fluid model introduced by H.Brenner.

    DOI： 10.1007/s00033-018-0951-8

  • Contact discontinuities in multi-dimensional isentropic euler equations Reviewed

    Jan Brezina, Elisabetta Chiodaroli, Ondřej Kreml

    Electronic Journal of Differential Equations   2018   2018.4

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We prove non-uniqueness of admissible weak solutions that start from the Riemann initial data allowing a contact discontinuity to emerge.

  • Maximal dissipation principle for the complete Euler system

    Jan Brezina, Eduard Feireisl

    RIMS Kôkyûroku   2018.4

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    Language：English   Publishing type：Research paper (other academic)  

  • Stability of strong solutions to the Navier–Stokes–Fourier system Reviewed International journal

    Jan Brezina, Eduard Feireisl, Antonin Novotny

    SIAM Journal on Mathematical Analysis   2018.2

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Measure-valued solutions to the complete Euler system Reviewed

    Jan Brezina, Eduard Feireisl

    Journal of the Mathematical Society of Japan   70 ( 4 )   1227 - 1245   2018.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    We introduce the concept of dissipative measure-valued so- lution to the complete Euler system describing the motion of an inviscid compressible fluid. These solutions are characterized by a parameterized (Young) measure and a dissipation defect in the total energy balance. The dissipation defect dominates the concentration errors in the equations satisfied by the Young measure. A dissipative measure-valued solution can be seen as the most general concept of solution to the Euler system retaining its structural stability. In particular, we show that a dissipative measure-valued solution necessarily coincides with a classical one on its life span provided they share the same initial data.

    DOI： 10.2969/jmsj/77337733

  • Dimension Reduction for the Full Navier–Stokes–Fourier system Reviewed

    Jan Brezina, Ondřej Kreml, Václav Mácha

    Journal of Mathematical Fluid Mechanics   19 ( 4 )   659 - 683   2017.12

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    Language：English   Publishing type：Research paper (scientific journal)  

    It is well known that the full Navier–Stokes–Fourier system does not possess a strong solution in three dimensions which causes problems in applications. However, when modeling the flow of a fluid in a thin long pipe, the influence of the cross section can be neglected and the flow is basically one-dimensional. This allows us to deal with strong solutions which are more convenient for numerical computations. The goal of this paper is to provide a rigorous justification of this approach. Namely, we prove that any suitable weak solution to the three-dimensional NSF system tends to a strong solution to the one-dimensional system as the thickness of the pipe tends to zero.

    DOI： 10.1007/s00021-016-0301-6

  • Asymptotic behavior of solutions to the compressible navier-stokes equation around a time-periodic parallel flow Reviewed

    Jan Brezina

    SIAM Journal on Mathematical Analysis   45 ( 6 )   3514 - 3574   2013.12

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    The global in time existence of strong solutions to the compressible Navier-Stokes equation around time-periodic parallel flows in Rn, n ≥ 2, is established under smallness conditions on Reynolds number, Mach number, and initial perturbations. Furthermore, it is proved for n = 2 that the asymptotic leading part of solutions is given by a solution of the one-dimensional viscous Burgers equation multiplied by the time-periodic function. In the case n ≥ 3 the asymptotic leading part of solutions is given by a solution of the n -1-dimensional heat equation with the convective term multiplied by the time-periodic function.

    DOI： 10.1137/12089555X

  • Spectral properties of the linearized compressible Navier–Stokes equation around time-periodic parallel flow Invited Reviewed International journal

    Jan Brezina, Yoshiyuki Kagei

    Journal of Differential Equations   255 ( 6 )   1132 - 1196   2013.9

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： http://dx.doi.org/10.1016/j.jde.2013.04.036

  • Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow Invited Reviewed International journal

    Jan Brezina, Yoshiyuki Kagei

    Math. Models Meth. Appl. Sci.   22 ( 7 )   2012.4

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Asymptotic properties of solutions to the equations of incompressible fluid mechanics Reviewed

    Jan Brezina

    Journal of Mathematical Fluid Mechanics   12 ( 4 )   536 - 553   2010.12

    　More details

    Language：English   Publishing type：Research paper (scientific journal)  

    Well-accepted hypothesis in the fluid dynamics is that if the boundary of the physical domain is impermeable then the viscous fluid adheres completely to it. Many authors recently proposed mathematical justifications for this hypothesis using the so-called rugous boundary. In this Paper we want to discuss optimality of results obtained in Bucur et al. [3], Bucur and Feireisl [4] or Díaz et al. [5] and we show several corresponding examples. Finally, we extend these results for more general domains.

    DOI： 10.1007/s00021-009-0301-x

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Presentations

  • Long-time behavior of compressible MHD with non-conservative boundary conditions Invited International conference

    Jan Brezina

    2024.2 

    　More details

    Event date： 2024.2

    Language：English  

    Venue：Hong Kong Polytechnic University  

  • On the behavior of compressible viscous fluids under in/out-flux boundary conditions Invited

    Jan Brezina

    2023.1 

    　More details

    Event date： 2023.1

    Language：English  

    Venue：若手による流体力学の基礎方程式研究集会   Country：Japan  

  • On barotropic Navier-Stokes system with general boundary conditions Invited

    Jan Brezina

    2021.12 

    　More details

    Event date： 2022.6

    Language：English  

    Country：Japan  

  • On singular limits of the complete Euler system International conference

    Jan Brezina

    2019.11 

    　More details

    Event date： 2020.6

    Language：English  

    Venue：Xiamen University   Country：China  

  • Complete Euler system and measure-valued solutions

    Jan Brezina

    2018.1 

    　More details

    Event date： 2020.6

    Language：English  

    Venue：Kyoto University   Country：Japan  

  • Back to the future with measure-valued solutions International conference

    Jan Brezina

    2018.3 

    　More details

    Event date： 2020.6

    Language：English  

    Venue：Capital Normal University   Country：China  

  • Stability of strong solutions to Navier-Stokes-Fourier system

    Jan Brezina

    2018.12 

    　More details

    Event date： 2020.6

    Language：English  

    Venue：Kobe University   Country：Japan  

  • Nonuniqueness of delta shocks in the model of Chaplygin gas

    Jan Brezina

    Japanese Mathematical Society  2019.3 

    　More details

    Event date： 2020.6

    Language：English  

    Venue：Tokyo Institute of Technology   Country：Japan  

  • On the low stratification of the complete Euler system

    Jan Brezina

    2019.8 

    　More details

    Event date： 2020.6

    Language：English  

    Venue：Sapporo University   Country：Japan  

  • Measure-valued solutions and compressible flows Invited International conference

    Jan Brezina

    2018.3 

    　More details

    Event date： 2019.6

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：China  

  • Good concept of a solution to complete Euler system

    Jan Brezina

    2017.12 

    　More details

    Event date： 2019.6

    Language：English  

    Country：Japan  

  • New take on measure-valued solutions for complete Euler system International conference

    Jan Brezina

    2017.12 

    　More details

    Event date： 2019.6

    Language：English  

    Country：Czech Republic  

  • On measure-valued solutions International conference

    Jan Brezina

    2018.7 

    　More details

    Event date： 2018.7

    Language：English  

    Country：Taiwan, Province of China  

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Professional Memberships

  • Mathematical Society of Japan

Academic Activities

  • Screening of academic papers

    Role(s)： Peer review

    2023

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：2

  • Screening of academic papers

    Role(s)： Peer review

    2022

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：2

  • Screening of academic papers

    Role(s)： Peer review

    2021

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：3

  • Screening of academic papers

    Role(s)： Peer review

    2020

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：2

  • Screening of academic papers

    Role(s)： Peer review

    2019

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：3

  • Screening of academic papers

    Role(s)： Peer review

    2018

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：4

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Educational Activities

  • I teach courses KIKAN courses for Faculty of Arts and Science in English (including those for IUPE program) and basic and advanced courses for School of Interdisciplinary Science and Innovation. As a result of curriculum changes in SISI I'm part of a working group that prepares new classes and also work on development of issue based and COIL courses at SISI. I am a tutor for five second year students of the Interdisciplinary Science and Innovation.　I am giving a 4th year seminar to a student in the school of mathematics. I am also implementing modern learning methods like student centered classroom, combining them with on-line materials and participating in creation of new lecturing approaches.

Class subject

  • Math for ISI

    2024.12 - 2025.2   Winter quarter

  • Linear Algebra Ⅳ

    2024.12 - 2025.2   Winter quarter

  • 〔学際〕情報学Ｆ

    2024.12 - 2025.2   Winter quarter

  • 課題協学科目

    2024.10 - 2025.3   Second semester

  • Linear Algebra Ⅲ

    2024.10 - 2024.12   Fall quarter

  • 〔学際〕情報学Ｅ

    2024.10 - 2024.12   Fall quarter

  • 基幹教育セミナー

    2024.6 - 2024.8   Summer quarter

  • Linear Algebra Ⅱ

    2024.6 - 2024.8   Summer quarter

  • 数理科学特別講義Ⅵ

    2024.4 - 2024.9   First semester

  • 数理科学特論６

    2024.4 - 2024.9   First semester

  • ISI basic project 1

    2024.4 - 2024.6   Spring quarter

  • Linear Algebra Ⅰ

    2024.4 - 2024.6   Spring quarter

  • Linear Algebra IV

    2023.12 - 2024.2   Winter quarter

  • 課題教学科目

    2023.10 - 2024.3   Second semester

  • Python Programming for Analysis

    2023.10 - 2024.3   Second semester

  • Linear Algebra III

    2023.10 - 2023.12   Fall quarter

  • Basic system science

    2023.10 - 2023.12   Fall quarter

  • Linear Algebra II

    2023.6 - 2023.8   Summer quarter

  • 基幹教育セミナー

    2023.6 - 2023.8   Summer quarter

  • 数理学講究第2

    2023.4 - 2024.3   Full year

  • Linear Algebra I

    2023.4 - 2023.6   Spring quarter

  • ISI basic project 1

    2023.4 - 2023.6   Spring quarter

  • Linear Algebra IV

    2022.12 - 2023.2   Winter quarter

  • 数理学講究第１

    2022.10 - 2023.3   Second semester

  • 課題教学科目

    2022.10 - 2023.3   Second semester

  • Python Programming for Analysis

    2022.10 - 2023.3   Second semester

  • Linear Algebra III

    2022.10 - 2022.12   Fall quarter

  • Linear Algebra II

    2022.6 - 2022.8   Summer quarter

  • 基幹教育セミナー

    2022.6 - 2022.8   Summer quarter

  • Linear Algebra I

    2022.4 - 2022.6   Spring quarter

  • ISI-Basic project 1

    2022.4 - 2022.6   Spring quarter

  • 課題協学科目

    2021.10 - 2022.3   Second semester

  • Python Programing for Analysis

    2021.10 - 2022.3   Second semester

  • 基幹教育セミナー

    2021.6 - 2021.8   Summer quarter

  • 基幹教育セミナー

    2021.6 - 2021.8   Summer quarter

  • Linear Algebra Ⅱ

    2021.6 - 2021.8   Summer quarter

  • Linear Algebra Ⅰ

    2021.4 - 2021.6   Spring quarter

  • ISI-BasicProject1

    2021.4 - 2021.6   Spring quarter

  • Linear Algebra Ⅳ

    2020.12 - 2021.2   Winter quarter

  • Python Programing for Analysis

    2020.10 - 2021.3   Second semester

  • Linear Algebra Ⅲ

    2020.10 - 2020.12   Fall quarter

  • Linear Algebra Ⅱ

    2020.6 - 2020.8   Summer quarter

  • 基幹教育セミナー

    2020.6 - 2020.8   Summer quarter

  • Linear Algebra Ⅰ

    2020.4 - 2020.6   Spring quarter

  • Linear Algebra Ⅳ

    2019.12 - 2020.2   Winter quarter

  • 数理科学特別講義ⅩⅠ

    2019.10 - 2020.3   Second semester

  • 課題協学科目

    2019.10 - 2020.3   Second semester

  • 数理科学特論１１

    2019.10 - 2020.3   Second semester

  • Python Programing for Analysis

    2019.10 - 2020.3   Second semester

  • Linear Algebra Ⅲ

    2019.10 - 2019.12   Fall quarter

  • Linear Algebra Ⅱ

    2019.6 - 2019.8   Summer quarter

  • 基幹教育セミナー

    2019.6 - 2019.8   Summer quarter

  • (IUPE) Complex Function Theory

    2019.4 - 2019.9   First semester

  • Linear Algebra Ⅰ

    2019.4 - 2019.6   Spring quarter

  • Linear Algebra B

    2018.10 - 2019.3   Second semester

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FD Participation

  • 2024.3   Role：Participation   Title：基幹教育院FD

  • 2023.9   Role：Participation   Title：課題協学科目 第2回FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2023.6   Role：Participation   Title：課題協学科目 第1回FD

  • 2023.6   Role：Participation   Title：Navigating the Undergraduate Classroom Strategies, Tips & Lessons from the Field

  • 2023.5   Role：Participation   Title：基幹教育セミナーFD

  • 2023.3   Role：Participation   Title：基幹教育院FD

  • 2022.9   Role：Participation   Title：課題協学科目 第2回FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2022.9   Role：Participation   Title：基幹教育院夏季FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2022.6   Role：Participation   Title：課題協学科目 第1回FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2022.5   Role：Participation   Title：基幹教育セミナーFD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2022.3   Title：英語による教授スキル向上研修プログラム(FD)

  • 2022.3   Role：Participation   Title：基幹教育院FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2021.9   Role：Participation   Title：課題協学科目 第2回FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2021.9   Title：工・農学研究院連携「英語によるSTEAM教育に関するFD」Learner-centred approaches to teaching and learning

  • 2021.9   Role：Participation   Title：基幹教育院夏季FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2021.7   Title：共創学部/ISI）カリキュラム改革に係るFD

  • 2021.6   Role：Participation   Title：課題協学科目 第1回FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2021.5   Role：Participation   Title：基幹教育セミナーFD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2021.3   Role：Participation   Title：基幹教育院FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2020.12   Title：UQ-KU Education Forum 2020 (Day 1&2)

  • 2020.11   Title：【ISI/共創学部】E/Jカリキュラムに関するFD

  • 2020.9   Role：Participation   Title：基幹教育院夏季FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2020.5   Role：Participation   Title：基幹教育セミナーFD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2020.3   Role：Participation   Title：基幹教育院FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2019.9   Role：Participation   Title：課題協学科目 第2回FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2019.9   Role：Participation   Title：基幹教育院夏季FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2019.6   Role：Participation   Title：課題協学科目 第1回FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2019.5   Role：Participation   Title：基幹教育セミナーFD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2019.3   Role：Participation   Title：基幹教育院FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

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Participation in international educational events, etc.

  • 2020.12

    Next Enhanced Education Program (NEEP) is a joint program between the Faculty of Engineering and Faculty of Agriculture of Kyushu University

    UQ-KU Education Forum 2020−Teaching effectively in the time of COVID-19−

  • 2019.12

    Kyushu University, School of Engineering

    FD: New Teaching Approaches in STEM Education through EMI

    　 More details

    Venue：Fukuoka, Japan

    Number of participants：30

Other educational activity and Special note

  • 2024  Class Teacher  全学

  • 2023  Class Teacher  全学

  • 2023  Class Teacher  学部

  • 2023  Class Teacher  学部

  • 2022  Class Teacher  全学

  • 2022  Class Teacher  学部

  • 2021  Class Teacher  学部

  • 2021  Class Teacher  全学

  • 2021  Class Teacher  学部

  • 2020  Class Teacher  学部

  • 2019  Class Teacher  学部

  • 2019  Class Teacher  学部

  • 2018  Special Affairs  In joint work with Prof. Eiji Yanagida from Tokyo Institute of Technology we wrote a bilingual (English/Japanese) textbook called " Introduction to Calculus in English".

    　詳細を見る

    In joint work with Prof. Eiji Yanagida from Tokyo Institute of Technology we wrote a bilingual (English/Japanese) textbook called " Introduction to Calculus in English".

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Outline of Social Contribution and International Cooperation activities

  • I closely collaborate with a group of mathematicians from the Czech Academy of Sciences.

Social Activities

  • 高校生のための共創学部セミナー

    2021.3

    　More details

    Audience：Infants,　Schoolchildren,　Junior students,　High school students

    Type：Seminar, workshop

  • Gave a talk called "Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions" at "Publish and Prosper": European Research "Day & Night"

    EURAXESS Japan  on-line  2020.12

    　More details

    Audience：General,　Scientific,　Company,　Civic organization,　Governmental agency

    Type：Seminar, workshop

Acceptance of Foreign Researchers, etc.

  • Mathematical Institute of Czech Academy of Sciences

    Acceptance period： 2023.2 - 2023.3  

    Nationality：Czech Republic

  • Mathematical Institute of Czech Academy of Sciences

    Acceptance period： 2020.1   （Period）：Less than 2 weeks

    Nationality：Czech Republic

  • Acceptance period： 2018.9  

    Nationality：Czech Republic

  • Acceptance period： 2018.9  

    Nationality：Czech Republic

Travel Abroad

  • 2023.7 - 2023.8

    Staying countory name 1：Czech Republic   Staying institution name 1：Czech Academy of Sciences

  • 2018.3

    Staying countory name 1：China   Staying institution name 1：Chinese Academy of Sciences

  • 2018.3

    Staying countory name 1：Czech Republic   Staying institution name 1：Czech Academy of Sciences