The Incompressible Limit of Solutions of the Two-Dimensional Compressible Euler System with Degenerating Initial Data

@inproceedings{Dutrifoy2013TheIL,
  title={The Incompressible Limit of Solutions of the Two-Dimensional Compressible Euler System with Degenerating Initial Data},
  author={Alexandre Dutrifoy},
  year={2013}
}
  • Alexandre Dutrifoy
  • Published 2013
Using Strichartz estimates, it is possible to pass to the limit in the weakly compressible 2-D Euler system, when the Mach number tends to zero, even if the initial data are not uniformly smooth. More precisely, their norms in Sobolev spaces embedded in C can be allowed to grow as small powers of . This leads to results of convergence to solutions of the incompressible Euler system whose regularity is critical, such as vortex patches or Yudovich solutions. 

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