Free boundary problem for a viscous heat-conducting flow with surface tension

Ewa Zadrzyńska

DOI: http://dx.doi.org/10.12775/TMNA.2002.017

Abstract


In the paper the equations describing the motion of a drop of a viscous
heat-conducting capillary fluid bounded by a free surface are examined.
Assuming
that the viscosity coefficients, the coefficient of heat-conductivity, the
pressue and the specific heat at constant volume of the fluid depend on its
density and temperature we prove the existence of a global in time solution
which is close to a constant state for any moment of time.

Keywords


Free boundary; surface tension; compressible viscous heat-conducting fluid; global existence

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