Existence of a global solution for a viscoelastic system (Q1380318)
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scientific article; zbMATH DE number 1123518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of a global solution for a viscoelastic system |
scientific article; zbMATH DE number 1123518 |
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Existence of a global solution for a viscoelastic system (English)
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30 March 1998
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The author considers the Cauchy problem for the viscoelastic system \[ v_t- u_x= 0,\quad u_t- f(v)_x+ ku= u_{xx} \] without the restriction that the initial data approach constants at infinity. Existence of unique classical solution is proved, including a priori estimates. A parallel result for a model of compressible adiabatic flow through porous media with a physical viscosity is also obtained.
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existence of unique classical solution
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Cauchy problem
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a priori estimates
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0.95239604
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0.9423622
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0.9336395
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0.9336128
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0.9335653
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0.93297756
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0.9327551
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0.9314618
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