Boundary regularity for self-controlling and Cosserat models of viscoplasticity: interior estimates for models of power type. (English) Zbl 07278884
Summary: We prove regularity up to boundary for self-controlling and Cosserat models (i.e. those possessing velocity in \(L^2(H^1))\). The technique we use was recently discovered by Löbach and Frehse for the study of regularity for isotropic and kinematic hardening. In the second part of the paper we prove higher interior regularity for solutions to models of power type, for which the velocity field is less regular.
MSC:
| 74-XX | Mechanics of deformable solids |
Keywords:
mechanics of deformable solids; nonlinear constitutive equations; partial differential equations; regularity theoryReferences:
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