【中央民族大学】The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients

报告题目：The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients

报告人：李明杰 副研究员 中央民族大学

报告时间：2021年7月12日（星期一） 09:50-10:40

报告地点：海山楼 B1410

校内联系人：禹芳                  联系电话：84708351-8096

报告摘要：In this talk, we study the zero dissipation limit of the one-dimensional full compressible Navier–Stokes equations with temperature-dependent viscosity and heat-conduction coefficient. It is proved that given a rarefaction wave with one-side vacuum state to the full compressible Euler equations, we can construct a sequence of solutions to the full compressible Navier–Stokes equations which converge to the above rarefaction wave with vacuum as the viscosity and the heat-conduction coefficient tend to zero. Moreover, the uniform convergence rate is obtained. The main difficulty in our proof lies in the degeneracies of the density, the temperature and the temperature-dependent viscosities at the vacuum region in the zero dissipation limits.

报告人简介：李明杰，中央民族大学理学院副教授。公开发表SCI论文多篇，部分研究结果发表在本领域国际顶尖学术期刊 ：Archive for Rational Mechanics and Analysis、SIAM Journal on Mathematical Analysis等。主持国家自然科学基金青年项目一项，面上项目一项。