We consider the incompressible limit of the compressible Euler equation in the half-space ℝn+. 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 data v∞0 do not satisfy the condition '∇·v∞0 = 0', then the initial layer will appear.
|Number of pages||14|
|Journal||Mathematical Methods in the Applied Sciences|
|Publication status||Published - 1997 Jul 25|
ASJC Scopus subject areas