Discontinuous solutions to the Euler equations for a van der Waals fluid
Copyright policy )Discontinuous solutions to the Euler equations for a van der Waals fluid
The author considers discontinuous solutions to the Euler system for the van der Waals fluid in two dimensions. These solutions contain one shock and one phase transition. The general case when there is a characteristic between the shock and the phase boundary is studied. The local (with respect to time) existence of such solutions is proved. The method of the proof is linearization and an iteration scheme.
- Shanghai Jiao Tong University China (People's Republic of)
- Fudan University China (People's Republic of)
two dimensions, Applied Mathematics, Existence, shock waves, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, Shocks and singularities for hyperbolic equations, Shock waves, Phase transitions, phase transition, Hyperbolic conservation laws
two dimensions, Applied Mathematics, Existence, shock waves, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, Shocks and singularities for hyperbolic equations, Shock waves, Phase transitions, phase transition, Hyperbolic conservation laws
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