GLOBAL SOLUTIONS TO THE NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE HEAT-CONDUCTING FLOW WITH SYMMETRY AND FREE
BOUNDARY
期刊名称： Communications in Partial Differential Equations
作者： Chen, Gui-Qiang,Kratka, Milan
年份： 2002年
期号： 第5期
关键词： global solutions; compressible flow; heat-conducting fluids; large
oscillation; spherical symmetry; vacuum; free boundary; singularity; two-pha flow; Navier-Stokes equations; convergence; difference scheme; energy
estimates; uniform bounds
摘要：Global solutions of the multidimensional Navier-Stokes equations for compressible heat-conducting flow are constructed, with spherically symmetric initial data of large oscillation between a static solid core and a free boundary connected to a surrounding vacuum state. The free boundary connects the compressible heat-conducting fluids to the vacuum state with free normal stress and zero normal heat flux. The fluids are initially assumed to fill with a finite volume and zero density at the free boundary, and with bounded positive density and temperature between the solid core and the initial position of the free boundary. One of the main features of this problem is the singularity of solutions near the
free boundary. Our approach is to combine an effective difference scheme to construct approximate solutions with the energy
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