Special Session 4
Mathematical Analysis of PDE Models in Materials Science
Organizer(s):
Toyohiko Aiki
Nobuyuki Kenmochi
Adrian Muntean
Introduction:
This special session will address analytic aspects of nonlinear systems of PDEs arising particularly in modeling the behavior of materials such as shape-memory alloys, porous materials (e.g. concrete), biological membranes. The discussions will be around topics like well-posedness, specific limits (e.g. fast-reaction a symptotic and its connection with the large-time behavior), nonlinear transmission conditions, coupling mechanics equations with thermal and chemistry models.

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