Theory of functional solutions to quasilinear systems of conservation laws and its applications (Q1585407)
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scientific article; zbMATH DE number 1526524
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory of functional solutions to quasilinear systems of conservation laws and its applications |
scientific article; zbMATH DE number 1526524 |
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Theory of functional solutions to quasilinear systems of conservation laws and its applications (English)
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13 November 2000
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The author considers the wellposedness for nonlinear equations that have applications in mathematical physics. Basic mathematical structures of convergence of approximate methods are investigated, and theorems on global solvability of the Cauchy problem for quasilinear and semilinear equations, including the Boltzmann and Smoluchowski equations for space-inhomogeneous media, are proved.
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Boltzmann equations
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wellposedness
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global solvability of the Cauchy problem
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quasilinear and semilinear equations
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Smoluchowski equations
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space-inhomogeneous media
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