Delta shock waves as limits of vanishing viscosity for 2-D steady pressureless isentropic flow
The authors study the two-dimension steady pressureless isentropic flow described by the first-order system of equations (continuity equations and momentum conservation). The Riemann problem for this system is studied. This problem is solved by the characteristic method. Solutions are of two types: delta-shock solutions and vacuum solutions. The existence, uniqueness, and stability of the delta-shock solution is proved (under certain assumptions). The numerical examples illustrate the results.
scientific article; zbMATH DE number 5864144
scientific article