Existence of global weak solutions for compressible fluid models with a capillary tensor for discontinuous interface. (English) Zbl 1240.35404

The paper deals with the global existence of weak solutions for a general isothermal model of capillary fluids. The global stability of weak solutions for system with isentropic pressure and with general pressure is proved. Finally, the perturbations to a stable equilibrium is considered.


35Q35 PDEs in connection with fluid mechanics
35D30 Weak solutions to PDEs
76D45 Capillarity (surface tension) for incompressible viscous fluids
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
Full Text: arXiv