分野別セミナー

We consider models for compressible two-phase flows with phase transitions. These are based on first principles, i.e., balance of mass, momentum, and energy. As a first step, we analyze a simplified model, where the temperature is assumed to be constant. Performing a Hanzawa transform, the problem is transformed to a quasilinear parabolic two-phase problem with complicated transmission conditions on the interface in a fixed domain. Then the density can be considered as a function of the velocity and of the height function, applying the method of characteristics. We prove maximal Lp-regularity of a the corresponding linearized problem, and then by a fixed point argument in a suitable space, we obtain local existence for the isothermal, compressible model with phase transitions.
This is a joint work with J. Pruess (Halle).

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