粘性依赖于密度的三维无压Navier-Stokes-Poisson方程的解析爆破解
Analytical Blowup Solutions to the 3-dimensional Pressureless Navier-Stokes-Poisson Equations with Density-dependent Viscosity
摘要：
研究了天体物理中描述气态星演化的无压Navier-Stokes-Poisson方程。Yuen对R2中Euler-Poisson方程的等温爆破解可以推广到R3中粘性依赖于密度的无压Navier-Stokes-Poisson方程。最后讨论了爆破解的意义以及爆破解对半导体漂移扩散模型的适用性。
英文摘要：
We study the pressureless Navier--Stokes-Poisson equations of describing the evolution of the gaseous star in astrophysics. The isothermal blowup solutions of Yuen, to the Euler-Poisson equations in R2, can be extended to the pressureless Navier-Stokes-Poisson equations with density-dependent viscosity in R3. Besides some remarks, about the meaning of the blowup solutions and the applicability of such solutions to the the drift-diffusion model in semiconductors, are discussed in the end.
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