| Contents |
| We consider the basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics in the case of temperature-dependent surface tension. We prove well-posedness in an $L_p$-setting, study the stability of the equilibria of the problem, and show that a solution which does not develop singularities exist globally, and if its limit set contains a stable equilibrium it converges to this equilibrium as time goes to infinity, in the natural state manifold for the problem. |
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