Advances in Differential Equations
- Adv. Differential Equations
- Volume 10, Number 1 (2005), 19-44.
Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions
We study the zero Mach number limit of classical solutions to the compressible Euler equations for nonisentropic fluids in a domain $\Omega \subset \mathbb R^d$ ($d=2$ or $3$). We consider the case of general initial data. For a domain $\Omega$, bounded or unbounded, we first prove the existence of classical solutions for a time independent of the small parameter. Then, in the exterior case, we prove that the solutions converge to the solution of the incompressible Euler equations.
Adv. Differential Equations, Volume 10, Number 1 (2005), 19-44.
First available in Project Euclid: 18 December 2012
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Alazard, Thomas. Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions. Adv. Differential Equations 10 (2005), no. 1, 19--44. https://projecteuclid.org/euclid.ade/1355867894