Abstract
A short-time existence theorem is proven for the Euler equations for nonisentropic compressible fluid flow in a bounded domain, and solutions with low Mach number and almost incompressible initial data are shown to be close to corresponding solutions of the equations for incompressible flow.
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Communicated by L. Nirenberg
Partially supported by Department of Energy contracts DEAC0276ER03077-III, V, Current address: Mathematics Department, Princeton University, Princeton, NJ 08544, USA
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Schochet, S. The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit. Commun.Math. Phys. 104, 49–75 (1986). https://doi.org/10.1007/BF01210792
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DOI: https://doi.org/10.1007/BF01210792