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摘要
Local solutions of the multidimensional Navier-Stokes equations for isentropic compressible flow are constructed with spherically symmetric initial data between a solid core and a free boundary connected to a surrounding vacuum state. The viscosity coefficients lambda, mu are proportional to rho(theta), 0 < theta < gamma, where rho is the density and gamma > 1 is the physical constant of polytropic fluid. It is also proved that no vacuum develops between the solid core and the free boundary, and the free boundary expands with finite speed.
- 出版日期2008-7
- 单位浙江大学
