Regular attractor of quasilinear hyperbolic system with dissipation (Q1076907)

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scientific article; zbMATH DE number 3955565
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Regular attractor of quasilinear hyperbolic system with dissipation
scientific article; zbMATH DE number 3955565

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    Regular attractor of quasilinear hyperbolic system with dissipation (English)
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    1985
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    Let \(S_ t\) be the semigroup corresponding to the solution of the system \[ u''+Bu'=Au-\nabla F(u)-g \] of the type of equations from the theory of elasticity, with initial and homogeneous Dirichlet boundary conditions. It is proved, that \(S_ t\) has a regular attractor.
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    quasilinear hyperbolic equations
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    semigroup of the solution
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    regular attractor
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    theory of elasticity
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    Dirichlet boundary conditions
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