Mathematical analysis of models for phase transitions in solids
Peicheng Zhu,
Instituto BCAM
Martes 11 de enero 2011
This talk is concerned with new models for phase transitions in
elastically deformable solids driven by configurational forces. As an
example, we study an initial boundary value problem for one of these models, which is
an elliptic-parabolic coupled system. We define weak solutions by using
two well-known concepts of weak solutions, i.e. the notion of weak
solutions defined by integrating by parts and the notion of viscosity
solution proposed by Crandall and Lions. Then we prove the existence of
weak solutions.