Convergence of a misanthrope process to the entropy solution of 1D problems (Q454856)
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scientific article; zbMATH DE number 6092494
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of a misanthrope process to the entropy solution of 1D problems |
scientific article; zbMATH DE number 6092494 |
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Convergence of a misanthrope process to the entropy solution of 1D problems (English)
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10 October 2012
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misanthrope stochastic process
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nonlinear scalar hyperbolic equation
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entropy Young measure
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traffic flow simulation
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weak BV inequality
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Let there be given the hyperbolic equation NEWLINE\[NEWLINE(D_t)u(x,t)+(D_x)(f(u))(x,t)=0.NEWLINE\]NEWLINE It is examined under which conditions some stochastic models, referred to as misanthrope processes, converge to this equation. The problem is analyzed in both bounded and non-bounded space, and is based on the Chapman-Kolmogoov equation and on the uniqueness of the entropy
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