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
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
ORCID
Degree
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PhD
Research History
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Kyushu University 2013 - 2014 Tokyo Institute of Technology 2014 - 2018
Research Interests・Research Keywords
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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
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Kyushu Young Mathematician Prize
2014.2 Mathematical Society of Japan - Kyushu branch
Papers
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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
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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
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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
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Globally bounded trajectories for the barotropic Navier–Stokes system with general boundary conditions Reviewed International journal
2020.9
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Existence of measure-valued solutions to a complete Euler system for a perfect gas
Jan Brezina
2020.1
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Inviscid limit for the compressible Euler system with non-local interactions Reviewed
Journal of Differential Equations 2019.1
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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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Contact discontinuities in multi-dimensional isentropic euler equations Reviewed
Electronic Journal of Differential Equations 2018 2018.4
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Maximal dissipation principle for the complete Euler system
Jan Brezina, Eduard Feireisl
2018.4
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Stability of strong solutions to the Navier–Stokes–Fourier system Reviewed International journal
2018.2
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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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Dimension Reduction for the Full Navier–Stokes–Fourier system Reviewed
Jan Brezina, Ondřej Kreml, Václav Mácha
19 ( 4 ) 659 - 683 2017.12
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Jan Brezina
SIAM Journal on Mathematical Analysis 45 ( 6 ) 3514 - 3574 2013.12
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Spectral properties of the linearized compressible Navier–Stokes equation around time-periodic parallel flow Invited Reviewed International journal
255 ( 6 ) 1132 - 1196 2013.9
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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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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
Presentations
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Long-time behavior of compressible MHD with non-conservative boundary conditions Invited International conference
Jan Brezina
2024.2
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On the behavior of compressible viscous fluids under in/out-flux boundary conditions Invited
Jan Brezina
2023.1
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On barotropic Navier-Stokes system with general boundary conditions Invited
Jan Brezina
2021.12
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On singular limits of the complete Euler system International conference
Jan Brezina
2019.11
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Complete Euler system and measure-valued solutions
Jan Brezina
2018.1
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Back to the future with measure-valued solutions International conference
Jan Brezina
2018.3
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Stability of strong solutions to Navier-Stokes-Fourier system
Jan Brezina
2018.12
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Nonuniqueness of delta shocks in the model of Chaplygin gas
Jan Brezina
Japanese Mathematical Society 2019.3
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On the low stratification of the complete Euler system
Jan Brezina
2019.8
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Measure-valued solutions and compressible flows Invited International conference
Jan Brezina
2018.3
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Good concept of a solution to complete Euler system
Jan Brezina
2017.12
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New take on measure-valued solutions for complete Euler system International conference
Jan Brezina
2017.12
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On measure-valued solutions International conference
Jan Brezina
2018.7
Professional Memberships
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Mathematical Society of Japan
Academic Activities
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Screening of academic papers
Role(s)： Peer review
2023
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Screening of academic papers
Role(s)： Peer review
2022
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Screening of academic papers
Role(s)： Peer review
2021
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Screening of academic papers
Role(s)： Peer review
2020
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Screening of academic papers
Role(s)： Peer review
2019
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Screening of academic papers
Role(s)： Peer review
2018
Class subject
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Math for ISI
2024.12 - 2025.2 Winter quarter
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Linear Algebra Ⅳ
2024.12 - 2025.2 Winter quarter
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〔学際〕情報学Ｆ
2024.12 - 2025.2 Winter quarter
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課題協学科目
2024.10 - 2025.3 Second semester
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Linear Algebra Ⅲ
2024.10 - 2024.12 Fall quarter
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〔学際〕情報学Ｅ
2024.10 - 2024.12 Fall quarter
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基幹教育セミナー
2024.6 - 2024.8 Summer quarter
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Linear Algebra Ⅱ
2024.6 - 2024.8 Summer quarter
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数理科学特論６
2024.4 - 2024.9 First semester
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数理科学特別講義Ⅵ
2024.4 - 2024.9 First semester
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ISI basic project 1
2024.4 - 2024.6 Spring quarter
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Linear Algebra Ⅰ
2024.4 - 2024.6 Spring quarter
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Linear Algebra IV
2023.12 - 2024.2 Winter quarter
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Python Programming for Analysis
2023.10 - 2024.3 Second semester
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課題教学科目
2023.10 - 2024.3 Second semester
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Basic system science
2023.10 - 2023.12 Fall quarter
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Linear Algebra III
2023.10 - 2023.12 Fall quarter
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Linear Algebra II
2023.6 - 2023.8 Summer quarter
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基幹教育セミナー
2023.6 - 2023.8 Summer quarter
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数理学講究第2
2023.4 - 2024.3 Full year
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Linear Algebra I
2023.4 - 2023.6 Spring quarter
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ISI basic project 1
2023.4 - 2023.6 Spring quarter
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Linear Algebra IV
2022.12 - 2023.2 Winter quarter
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数理学講究第１
2022.10 - 2023.3 Second semester
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課題教学科目
2022.10 - 2023.3 Second semester
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Python Programming for Analysis
2022.10 - 2023.3 Second semester
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Linear Algebra III
2022.10 - 2022.12 Fall quarter
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基幹教育セミナー
2022.6 - 2022.8 Summer quarter
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Linear Algebra II
2022.6 - 2022.8 Summer quarter
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Linear Algebra I
2022.4 - 2022.6 Spring quarter
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ISI-Basic project 1
2022.4 - 2022.6 Spring quarter
-
課題協学科目
2021.10 - 2022.3 Second semester
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Python Programing for Analysis
2021.10 - 2022.3 Second semester
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基幹教育セミナー
2021.6 - 2021.8 Summer quarter
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基幹教育セミナー
2021.6 - 2021.8 Summer quarter
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Linear Algebra Ⅱ
2021.6 - 2021.8 Summer quarter
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Linear Algebra Ⅰ
2021.4 - 2021.6 Spring quarter
-
ISI-BasicProject1
2021.4 - 2021.6 Spring quarter
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Linear Algebra Ⅳ
2020.12 - 2021.2 Winter quarter
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Python Programing for Analysis
2020.10 - 2021.3 Second semester
-
Linear Algebra Ⅲ
2020.10 - 2020.12 Fall quarter
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Linear Algebra Ⅱ
2020.6 - 2020.8 Summer quarter
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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
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課題協学科目
2019.10 - 2020.3 Second semester
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数理科学特論１１
2019.10 - 2020.3 Second semester
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Python Programing for Analysis
2019.10 - 2020.3 Second semester
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数理科学特別講義ⅩⅠ
2019.10 - 2020.3 Second semester
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Linear Algebra Ⅲ
2019.10 - 2019.12 Fall quarter
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Linear Algebra Ⅱ
2019.6 - 2019.8 Summer quarter
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基幹教育セミナー
2019.6 - 2019.8 Summer quarter
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(IUPE) Complex Function Theory
2019.4 - 2019.9 First semester
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Linear Algebra Ⅰ
2019.4 - 2019.6 Spring quarter
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Linear Algebra B
2018.10 - 2019.3 Second semester
FD Participation
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2024.3 Role：Participation Title：基幹教育院FD
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2023.9 Role：Participation Title：課題協学科目 第2回FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2023.6 Role：Participation Title：課題協学科目 第1回FD
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2023.6 Role：Participation Title：Navigating the Undergraduate Classroom Strategies, Tips & Lessons from the Field
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2023.5 Role：Participation Title：基幹教育セミナーFD
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2023.3 Role：Participation Title：基幹教育院FD
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2022.9 Role：Participation Title：課題協学科目 第2回FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2022.9 Role：Participation Title：基幹教育院夏季FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2022.6 Role：Participation Title：課題協学科目 第1回FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2022.5 Role：Participation Title：基幹教育セミナーFD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2022.3 Title：英語による教授スキル向上研修プログラム(FD)
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2022.3 Role：Participation Title：基幹教育院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2021.9 Role：Participation Title：課題協学科目 第2回FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2021.9 Role：Participation Title：基幹教育院夏季FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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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
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2021.7 Title：共創学部/ISI）カリキュラム改革に係るFD
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2021.6 Role：Participation Title：課題協学科目 第1回FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2021.5 Role：Participation Title：基幹教育セミナーFD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2021.3 Role：Participation Title：基幹教育院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2020.12 Title：UQ-KU Education Forum 2020 (Day 1&2)
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2020.11 Title：【ISI/共創学部】E/Jカリキュラムに関するFD
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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]
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2019.3 Role：Participation Title：基幹教育院FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
Participation in international educational events, etc.
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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−
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2019.12
Kyushu University, School of Engineering
FD: New Teaching Approaches in STEM Education through EMI
Venue：Fukuoka, Japan
Number of participants：30
Other educational activity and Special note
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2024 Class Teacher
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2023 Class Teacher
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2023 Class Teacher
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2023 Class Teacher
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2022 Class Teacher
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2022 Class Teacher
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2021 Class Teacher
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2021 Class Teacher
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2021 Class Teacher
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2020 Class Teacher
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2019 Class Teacher
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2019 Class Teacher
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2018 Special Affairs
Outline of Social Contribution and International Cooperation activities
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I closely collaborate with a group of mathematicians from the Czech Academy of Sciences.
Social Activities
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高校生のための共創学部セミナー
2021.3
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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"
2020.12
Acceptance of Foreign Researchers, etc.
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Mathematical Institute of Czech Academy of Sciences
Acceptance period： 2023.2 - 2023.3
Nationality：Czech Republic
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Mathematical Institute of Czech Academy of Sciences
Acceptance period： 2020.1 （Period）：Less than 2 weeks
Nationality：Czech Republic
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Acceptance period： 2018.9
Nationality：Czech Republic
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Acceptance period： 2018.9
Nationality：Czech Republic
Travel Abroad
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2023.7 - 2023.8
Staying countory name 1：Czech Republic Staying institution name 1：Czech Academy of Sciences
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2018.3
Staying countory name 1：China Staying institution name 1：Chinese Academy of Sciences
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2018.3
Staying countory name 1：Czech Republic Staying institution name 1：Czech Academy of Sciences