Abstract
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.
Original language | English |
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Pages (from-to) | 945-958 |
Number of pages | 14 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 20 |
Issue number | 11 |
DOIs | |
Publication status | Published - 1997 Jul 25 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Engineering(all)