Research in Mathematics of Materials Science

Part I: Research Paper - Interaction between oscillation and singular perturbations in a one-dimensional phase-field model (I. Zeppieri).- Grain growth and the effect of different time scales (Epshteyn).- Regularity of minimizers for a general class of constrained energies in two-dimensional domains with applications to liquid crystals (P. Bauman).- On some models in radiation hydrodynamic Poro-visco-elasticity in biomechanics - optimal control (L. Bociu).- Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension (Y. Gorb).- On static and evolutionary homogenization in crystal plasticity for stratified composites (E. Davoli).- On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models (D'Elia).- Existence of global solutions for 2D fluid-elastic interaction with small data (M. Luckas).- Doubly nonlocal Cahn-Hillard equations. Wellposedness and asymptotic behavior (P. Radu).- 3D image based stochastic micro-structure modelling of foams for simulating elasticity (K. Schladitz).- Machine learning for failure analysis: a mathematical modelling perspective (Pérez-Velázquez).- Invertibility of Orlicz-Sobolev maps (B. Stroffolini).- Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain limiting theory (Y. Sengül).- Generic for dissipative solids with bulk-interface interaction (M. Thomas).- PART II: Review Papers - Phase separation in heterogeneous media (R. Venkataraman).- Some recent results on 2d crystallization for sticky disc models and generalizations for systems of oriented particles (De Luca).- Pattern formation for nematic liquid crystals-modelling, analysis, and applications (A. Majumdar).- On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules (Yvonne Ou).- On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory (Yvonne Ou).- Rigidity and flexibility in the modelling of shape-memory alloys (A. Rüland).< p="">