Periodic structure in two-dimensional Riemann problems for Hamilton-Jacobi equations (Q2706208)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic structure in two-dimensional Riemann problems for Hamilton-Jacobi equations |
scientific article |
Statements
19 March 2001
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conservation law
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delay differential equations
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Hamilton-Jacobi equations
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two-dimensional Riemann problems
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viscosity solutions
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sonic rarefactions
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periodic structures
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Periodic structure in two-dimensional Riemann problems for Hamilton-Jacobi equations (English)
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The author considers Hamilton-Jacobi equations associated with two-dimensional Riemann problems. He develops the idea of viscosity solutions and considers some special cases with a simple Hamiltonian. There is a treatment of sonic rarefactions and a discussion of periodic structures. The treatment is abstract, and there is no application to any actual physical problem.
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