An existence theorem for the Dirichlet problem in the elastodynamics of incompressible materials

DOI10.1007/BF00251494zbMath0659.73011OpenAlexW2008942145MaRDI QIDQ1112640

Michael Renardy, William J. Hrusa

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251494

zbMATH Keywords

regularitya priori boundssmoothnessenergy methodsinitial- boundary value problemsanalogues of energy for sufficiently high derivatives of solutioncompatibility of dataderivatives with respect to timedifferentiation of equations of motionlimits of solutions for compressible materialslocal (in time) existence of classical solutions to Dirichlet problem

Mathematics Subject Classification ID

Related Items (4)

The interaction between quasilinear elastodynamics and the Navier-Stokes equations ⋮ Deformations of incompressible bodies with free boundaries ⋮ Unnamed Item ⋮ Exact energy and momentum conserving algorithms for general models in nonlinear elasticity

Cites Work

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