On slightly compressible ideal flow in the half-plane
A boundary value problem in a half-plane is considered for two-dimensional compressible Euler equations at a small Mach number \(\varepsilon\). The velocity field is decomposed as a sum of irrotational part, incompressible part, and a remainder. First, the existence is studied when initial data are irrotational and close to a constant state. Then existence is proved for any initial data subjected to smallness restrictions ruled by \(\varepsilon\).
two-dimensional compressible Euler equations
scientific article; zbMATH DE number 1743157