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On Rate-Type Viscoplastic Problems with Linear Boundary Conditions

✍ Scribed by M. Rochdi; M. Sofonea


Book ID
102942684
Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
694 KB
Volume
193
Category
Article
ISSN
0025-584X

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✦ Synopsis


In this paper we introduce the abstract concept of "linear boundary conditions" in the study of deformable bodies. We establish two existence and uniquenes results concerning respectively quasistatic and dynamic problems involving such type of boundary conditions. We also apply these existence results in the study of viscoplastic problems involving classical boundary conditions.


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We investigate a quasi-linear boundary value problem of the form -div(Ξ±|βˆ‡u| p-2 βˆ‡u) = 0 involving a general boundary map and mixed Neumann boundary conditions on a bounded Lipschitz domain. We show existence, uniqueness, and HΓΆlder continuity of the weak solution of this mixed boundary value problem