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Phase transitions of liquid-liquid type with convection. (English) Zbl 0958.35152

The authors consider the problem of phase transitions of liquid-liquid type with surface tension of the interface. The density of the fluid does not change. The authors prove the existence of a generalized solution.

MSC:

35R35 Free boundary problems for PDEs
35Q30 Navier-Stokes equations
35D05 Existence of generalized solutions of PDE (MSC2000)
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