• Qualitative behaviour of incompressible two-phase flows with phase transitions: The isothermal case

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    • Keywords


      Two-phase incompressible flows; Navier–Stokes equations; free boundary problems; surface tension; isothermal; phase transitions; stability; convergence to equilibria

    • Abstract


      A thermodynamically consistent model for incompressible two-phase flows with phase transitions is considered mathematically. The model is based on first principles, i.e., balance of mass, momentum and energy. In the isothermal case, this problem is analysed to obtain local well-posedness, stability of non-degenerate equilibria, and global existence and convergence to equilibria of solutions which do not develop singularities.

    • Author Affiliations



      1. Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, 06120 Halle, Germany
      2. Graduate School of Human and Environmental Studies, Kyoto University, Kyoto 606-8501, Japan
    • Dates

  • Proceedings – Mathematical Sciences | News

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