The initial-value problem for elastodynamics of incompressible bodies

DOI10.1007/BF00278241zbMath0599.73012MaRDI QIDQ1080684

David G. Ebin, Ralph Saxton

Publication date: 1986

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

zbMATH Keywords

energy estimatesCauchy problemcontinuous dependence on initial dataFaedo-Galerkin methodSobolev normsincompressible strongly elliptic hyperelastic materialsshort-time well-posednesssolution of linearized equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

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