Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation (Q1072008)
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scientific article; zbMATH DE number 3942056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation |
scientific article; zbMATH DE number 3942056 |
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Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation (English)
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1985
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A connection between the strict dissipativity of a partial differential equations system and the decay of its solutions is fixed. The decay property is used to prove the existence of in t global solutions of nonlinear evolution equations provided the initial data are sufficient small. As examples global solvability for Navier-Stokes equations and for some models of kinetic theory is proved.
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asymptotic behaviour
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strict dissipativity
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nonlinear evolution equations
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Navier-Stokes equations
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