Low Mach number limit of the full Navier-Stokes equations (Q2491094)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Low Mach number limit of the full Navier-Stokes equations |
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Low Mach number limit of the full Navier-Stokes equations (English)
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26 May 2006
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The author considers Cauchy problem for three-dimensional heat-conducting Navier-Stokes equations when the Mach number goes to zero. Ideal gas state equations are imposed. Given initial data, it is proved that there is a small time interval of solvability. By verifying estimates independent of the Mach number, convergence of the solutions to a solution of the limit system is proved as the Mach number goes to zero.
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vanishing Mach number
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local existence
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Cauchy problem
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