The incompressible limit of solutions of the two-dimensional compressible Euler system with degenerating initial data
β Scribed by Alexandre Dutrifoy; Taoufik Hmidi
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 85 KB
- Volume
- 336
- Category
- Article
- ISSN
- 1631-073X
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π SIMILAR VOLUMES
We consider the incompressible limit of the compressible Euler equation in the half-space 1L > . It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial dat
We generalize a theorem by J.-M. Coron (see [Sur la stabilisation des fluides parfaits incompressibles bidimensionnels, in: SΓ©minaire Γquations aux DΓ©rivΓ©es Partielles, Γcole Polytechnique, Centre de MathΓ©matiques, 1998-1999, exposΓ© VII]) and prove the existence of steady states of the Euler system