Local existence and uniqueness of strong solutions to the two dimensional compressible primitive equations with density-dependent viscosity (Q2050585)
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scientific article; zbMATH DE number 7388756
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local existence and uniqueness of strong solutions to the two dimensional compressible primitive equations with density-dependent viscosity |
scientific article; zbMATH DE number 7388756 |
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Local existence and uniqueness of strong solutions to the two dimensional compressible primitive equations with density-dependent viscosity (English)
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31 August 2021
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The author considers the two dimensional compressible primitive equations of an hydrostatic atmosphere model. Spatial dimensions are one horizontal and the vertical. The problem is in the rectangle (from the ground to a given height and on a segment in the horizontal dimension). Initial density and velocity profiles are exponentially decaying with height. Viscosities are some special functions of coordinates and density. For this problem, the local strong existence, uniqueness, and regularity result is proved. The initial data are supposed to obey regularity conditions, but may be large.
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strong solutions
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compressible primitive equations
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density-dependent viscosity
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atmospheric model
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0.8692220449447632
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0.8491047024726868
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0.8464394807815552
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