A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws (Q1270015)
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scientific article; zbMATH DE number 1213738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws |
scientific article; zbMATH DE number 1213738 |
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A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws (English)
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21 October 1998
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We present a new relaxation approximation to scalar conservation laws in several space variables by means of semilinear hyperbolic systems of equations with a finite number of velocities. Under a suitable multidimensional generalization of the Whitham relaxation subcharacteristic condition, we show the convergence of the approximated solutions to the unique entropy solution of the equilibrium Cauchy problem.
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Chapman-Enskop analysis
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Maxwellian functions
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relaxation approximation
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Whitham relaxation subcharacteristic condition
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