Incompressible limit for the two-dimensional isentropic Euler system with critical initial data
Published online by Cambridge University Press: 01 December 2014
Abstract
We study the low-Mach-number limit for the two-dimensional isentropic Euler system with ill-prepared initial data belonging to the critical Besov space . By combining Strichartz estimates with the special structure of the vorticity, we prove that the lifespan of the solutions goes to infinity as the Mach number goes to zero. We also prove strong convergence results of the incompressible parts to the solution of the incompressible Euler system.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 6 , December 2014 , pp. 1127 - 1154
- Copyright
- Copyright © Royal Society of Edinburgh 2014
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