A boundary value problem for the spherically symmetric motion of a pressureless gas with a temperature-dependent viscosity

作者：Ducomet Bernard; Necasova Sarka^*

来源：Mathematical Methods in the Applied Sciences, 2009, 32(16): 2071-2101.

DOI：10.1002/mma.1123

• spherically symmetric motion
• pressureless gas
• ternperature-dependent viscosity

We consider an initial-boundary value problem for the equations of spherically symmetric motion of a pressureless gas with temperature-dependent viscosity mu(theta) and conductivity kappa(theta). We prove that this problem admits a unique weak solution, assuming Belov's functional relation between mu(theta) and kappa(theta) and we give the behaviour of the solution for large times.

• 出版日期2009-11-15
• 单位中国地震局