The Hölder continuity of the solution map to the \(b\)-family equation in weak topology (Q383585)
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scientific article; zbMATH DE number 6235917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hölder continuity of the solution map to the \(b\)-family equation in weak topology |
scientific article; zbMATH DE number 6235917 |
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The Hölder continuity of the solution map to the \(b\)-family equation in weak topology (English)
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5 December 2013
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In this paper, the authors have developed theorems on Hölders continuity of the solution map to the \(b\)-family equation. They discuss the methods and derived a number of proofs for the existence and uniqueness of the problem. It is established a correspondence between the solution to the original PDE and the one to the transformed ODE. No numerical experiments are performed.
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Hölder continuity
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\(b\)-family equation
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weak topology
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fluid
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plasma
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non-linear PDE
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