On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid

Volume 63 / 1996

Ewa Zadrzyńska, Wojciech Zajączkowski Annales Polonici Mathematici 63 (1996), 199-221 DOI: 10.4064/ap-63-3-199-221


We consider the motion of a viscous compressible heat conducting fluid in ℝ³ bounded by a free surface which is under constant exterior pressure. Assuming that the initial velocity is sufficiently small, the initial density and the initial temperature are close to constants, the external force, the heat sources and the heat flow vanish, we prove the existence of global-in-time solutions which satisfy, at any moment of time, the properties prescribed at the initial moment.


  • Ewa Zadrzyńska
  • Wojciech Zajączkowski

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