Solution for linear conservation laws with velocity fields in \(L^{\infty}\) (Q948770)
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scientific article; zbMATH DE number 5353819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution for linear conservation laws with velocity fields in \(L^{\infty}\) |
scientific article; zbMATH DE number 5353819 |
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Solution for linear conservation laws with velocity fields in \(L^{\infty}\) (English)
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20 October 2008
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The authors suggest a space-time least squares method to solve the initial-boundary value problem for a linear conservation law with velocity field in \(L^\infty\). The existence and uniqueness of the least squares solution are established. The comparison with weak and renormalized solutions is also given.
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linear conservation laws
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initial-boundary value problem
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trace operator
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least squares solutions
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weak solutions
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renormalized solutions
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