On the compressible Navier-Stokes equations in the whole space: from non-isentropic flow to isentropic flow

发布时间：2019-04-08 作者：浏览次数：

Speaker:	何凌冰	DateTime:	2019年4月11日（周四）上午10：00-11:00
Brief Introduction to Speaker: 何凌冰：教授，清华大学数学系，博士毕业于中科院，主要研究方向为Boltzmann方程及Landau方程解的正则性传播和渐近行为。		Place:	六号楼二楼报告厅
Abstract:The present work aims at the mathematical derivatioin of the equations for the isentropic flow from those for the non-isentropic flow for perfect gases in the whole space. Suppose that the following things hold for the entropy equation: (1). both conduction of heat and its generation by dissipation of mechanical energy are sufficiently weak; (2). initially the entropy is around a constant. Then the solution to the non-isentropic compressible Navier-Stokes equations can be approximated by the solution to the associated isentropic compressible Navier-Stokes equations equipped with the same initial data. We also derive the asymptotic expansion for the solutions to these two equations.