TY - JOUR
T1 - The incompressible limit of solutions of the two-dimensional compressible Euler system with degenerating initial data
AU - Dutrifoy, Alexandre
AU - Hmidi, Taoufik
PY - 2003/3/15
Y1 - 2003/3/15
N2 - Using Strichartz estimates, it is possible to pass to the limit in the weakly compressible 2-D Euler system, when the Mach number E tends to zero, even if the initial data are not uniformly smooth. This leads to results of convergence to solutions of the incompressible Euler system whose regularity is critical, such as vortex patches or Yudovich solutions.
AB - Using Strichartz estimates, it is possible to pass to the limit in the weakly compressible 2-D Euler system, when the Mach number E tends to zero, even if the initial data are not uniformly smooth. 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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U2 - 10.1016/S1631-073X(03)00100-6
DO - 10.1016/S1631-073X(03)00100-6
M3 - Article
AN - SCOPUS:0038391294
SN - 1631-073X
VL - 336
SP - 471
EP - 474
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 6
ER -