Abstract
We study the Euler equations for slightly compressible fluids, that is, after rescaling, the limits of the Euler equations of fluid dynamics as the Mach number tends to zero. In this paper, we consider the general non-isentropic equations and general data. We first prove the existence of classical solutions for a time independent of the small parameter. Then, on the whole space ℝd, we prove that the solution converges to the solution of the incompressible Euler equations.
Original language | English |
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Pages (from-to) | 61-90 |
Number of pages | 30 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 158 |
Issue number | 1 |
DOIs | |
State | Published - 15 May 2001 |