A quasi-boundary value method for regularizing nonlinear ill-posed problems.
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Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes
Christian Heinemann, Christiane Kraus (2014)
Mathematica Bohemica
This paper addresses analytical investigations of degenerating PDE systems for phase separation and damage processes considered on nonsmooth time-dependent domains with mixed boundary conditions for the displacement field. The evolution of the system is described by a degenerating Cahn-Hilliard equation for the concentration, a doubly nonlinear differential inclusion for the damage variable and a quasi-static balance equation for the displacement field. The analysis is performed on a time-dependent...
Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles
Carole Rosier, Lionel Rosier (2004)
Banach Center Publications
Results on the global existence and uniqueness of variational solutions to an elliptic-parabolic problem occurring in statistical mechanics are provided.
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