Stability and existence of multidimensional subsonic phase transitions (Q1879142)

The authors study the uniform stability of multidimensional subsonic phase transitions satisfying the viscosity-capillarity criterion in a van der Waals fluid. By the direct computation of the corresponding Lopatinski determinant they prove the uniform stability of the admissible phase transition without any restrictions of Benzoni-Gavage type. Based on the stability results the authors also establish the local existence of phase transitions under viscosity-capillarity criterion.