\(L^1\) well posedness of Euler equations with dynamic phase boundaries (Q601310)
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scientific article; zbMATH DE number 5810272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^1\) well posedness of Euler equations with dynamic phase boundaries |
scientific article; zbMATH DE number 5810272 |
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\(L^1\) well posedness of Euler equations with dynamic phase boundaries (English)
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4 November 2010
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The authors study the well-posedness of the Cauchy problem to Euler equations with two phase boundaries moving in opposite directions. Under a suitable Finiteness Condition they introduce the front tracking approximation and establish the existence of the entropy solution. The authors also propose a Stability Condition, which guarantees the stability of the problem in \(L^1\cap BV\) and the existence of a Lipschitz semigroup of solutions.
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Euler equations
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phase transition
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entropy solutions
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well-posedness
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Lipschitz semigroups
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