Free boundary problem for compressible flows with density-dependent viscosity coefficients (Q651977)
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scientific article; zbMATH DE number 5989612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Free boundary problem for compressible flows with density-dependent viscosity coefficients |
scientific article; zbMATH DE number 5989612 |
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Free boundary problem for compressible flows with density-dependent viscosity coefficients (English)
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19 December 2011
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The main subject is to prove the global existence, uniqueness and continuous dependence on initial date of a weak solution to spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity coefficients. The proof is based on a transformation of the problem to the corresponding Lagrangian evolutionary problem, and on a space-discrete difference scheme which enables the construction of approximate solutions.
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Navier-Stokes equations
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global existence
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uniqueness
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Lagrangian boundary problem
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difference scheme
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