Discontinuous solutions of \(U_t + H(U_x) = 0\) versus measure-valued solutions of \(u_t + [H(u)]_x = 0\) (Q2075650)
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scientific article; zbMATH DE number 7473886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discontinuous solutions of \(U_t + H(U_x) = 0\) versus measure-valued solutions of \(u_t + [H(u)]_x = 0\) |
scientific article; zbMATH DE number 7473886 |
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Discontinuous solutions of \(U_t + H(U_x) = 0\) versus measure-valued solutions of \(u_t + [H(u)]_x = 0\) (English)
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15 February 2022
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Summary: Let \(H\) be a bounded Lipschitz continuous function. We discuss some recent results concerning discontinuous viscosity solutions of the Hamilton-Jacobi equation \(U_t + H(U_x) = 0\), signed Radon measure-valued entropy solutions of the conservation law \(u_t + [H(u)]_x = 0\), and their connection.
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Hamilton-Jacobi equations
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scalar conservation laws
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discontinuous viscosity solutions
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Radon measure-valued solutions
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compatibility conditions
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0.8856629
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0.87162966
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0.8628409
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0.8623573
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0.85824525
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