The initial-value problem for elastodynamics of incompressible bodies (Q1080684)
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scientific article; zbMATH DE number 3967989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The initial-value problem for elastodynamics of incompressible bodies |
scientific article; zbMATH DE number 3967989 |
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The initial-value problem for elastodynamics of incompressible bodies (English)
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1986
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The authors prove short-time well-posedness of the Cauchy problem for incompressible strongly elliptic hyperelastic materials. They reformulate the classical equations to solve for the pressure gradient, and solve the reformulated equations using energy estimates to bound the grow of various Sobolev norms. They also find the solutions as the limit of a sequence of solutions of linearized problems.
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solution of linearized equations
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Faedo-Galerkin method
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continuous dependence on initial data
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short-time well-posedness
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Cauchy problem
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incompressible strongly elliptic hyperelastic materials
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energy estimates
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Sobolev norms
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