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092-802-4402

092-802-4405

PhD in Applied Mathematics, SISSA International School for Advanced Studies, Italy

Yes

Calculus of Variations

12years00months

Research Interests

• Mesoscale modeling for disclinations toward a theory for kink and material strengthening
  keyword : Mille-feuille structure, kink, disclination
  2019.01～2020.02.
• Nematic Elastomers. Modeling and analysis of order-strain interaction in soft crystalline polymers elastic foundations.
  keyword : nematic liquid crystal elastomers
  2018.04～2019.03.
• Martensite. Modeling of topological defects in crystal lattices by means of stochastic models.
  keyword : calculus of variations, martensite
  2018.03～2019.03.

Current and Past Project

• Prepared and submitted a paper "A probabilistic model for interfaces in a martensitic phase transition" with Prof. B. Hambly.
  Started new project on modeling martensitic microstructure with fragmentation models and computation of power laws of geometric quantities generated during the fragmentation process.
  Started new research line on modeling disclinations and kink formation with Prof. Tomonari Inamura (TokyoTech, visiting Oxford during 2018).
• Modeling of disclinations and kink formation in metals
• Modeling and Analysis of Nematic Elastomers and Martensite in various configuration with both variational and probabilistic methods.
  
  Computed exact exponents of power law distributions from fragmentation models describing simple mechanisms of space-time evolutions of martensitic microstructures. Compared analytical and numerical results. Collaboration with B. Hambly (Oxford).
  
  Computed exact effective energies of nematic elastomers in elastic foundations configuration, in the membrane regime with small displacements. Obtained phase-diagrams for the energy in the dependence of various geometric and material parameters. Collaboration with A. Baldelli (CNRS)
  
  Obtained exact solutions to 4th order reaction-diffusion equations for surface growth and diffusion. Collaboration with the La Trobe group of P. Broadbridge, D. Triadis and D. Gallage.
  
  Obtained the exact relaxation of an energy model for the planar hexagonal-to-orthorhombic martensitic transformation. One book chapter published.
  
  

Academic Activities

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Professional and Outreach Activities