Highly Influenced

# 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} }

- 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.