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

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Zadrzyńska E., Zajączkowski W.

Annales Polonici Mathematici

1996

tom 63

nr 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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Zadrzyńska E.

1 Zajączkowski W.

1 1996

Wyniki wyszukiwania

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