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.
Citation
Ewa Zadrzyńska. "Free boundary problem for a viscous heat-conducting flow with surface tension." Topol. Methods Nonlinear Anal. 19 (2) 313 - 338, 2002.
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