Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775184 | Journal of Mathematical Analysis and Applications | 2017 | 34 Pages |
Abstract
In this article we study existence theory to a non-coercive fully dynamic model of poroplasticity with the non-homogeneous boundary conditions where the constitutive function is a continuous element of class LM (it is a sum of a maximal monotone map G and a globally Lipschitz map l). Without any additional growth conditions we are able to prove the existence of a solution such that the inelastic constitutive equation is satisfied in the measure-valued sense. Moreover, if G is a gradient of a differentiable convex function, then there exists a solution such that the constitutive equation is satisfied almost everywhere.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Konrad Kisiel,