Global spatial regularity for a regularized elasto-plastic model
- Bumb, Andreas
- Knees, Dorothee
2010 Mathematics Subject Classification
- 35B65 49N60 74C10
- global spatial regularity, nonsmooth domain, regularized elasto-viscoplastic model
In this note the spatial regularity of weak solutions for a class of elasto-viscoplastic evolution models is studied for nonsmooth domains. The considered class comprises e.g. models which are obtained through a Yosida regularization from classical, rate-independent models. The corresponding evolution model consists of an elliptic PDE for the (generalized) displacements which is coupled with an ordinary differential equation with a Lipschitz continuous nonlinearity describing the evolution of the internal variable. It is shown that the global spatial regularity of the displacements and the inner variables is exactly determined through the mapping properties of the underlying elliptic operator.