报告题目：Nonlinear stability of planar viscous shock wave to 3D compressible Navier-Stokes equations

报告摘要：We are concerned with the nonlinear stability of the planar viscous shock up to a time-dependent shift for the three-dimensional (3D) compressible Navier-Stokes equations under the generic perturbations, in particular, without zero mass conditions. Instead of the classical anti-derivative techniques, we perform the stability analysis of planar Navier-Stokes shock in original perturbation framework and therefore zero mass conditions are not necessarily needed, Our proof is motivated by the a-contraction method with time-dependent shift for the stability of viscous shock. This is the first analytical result on the time asymptotic stability of planar viscous shock wave to the multi-dimensional Navier-Stokes system with physical viscosity as far as we know. Moreover, our stability result is unconditional for the weak planar Navier-Stokes shock in 3D case

个人简介：王腾，副教授、博士生导师，博士毕业于中国科学院数学与系统科学研究院。主要研究流体力学方程组和动力学方程解的极限行为等。迄今共计发表SCI论文二十余篇，主要成果发表在“Arch. Rational Mech. Anal.”、“SIAM J. Math. Anal.”、“Math. Models Methods Appl. Sci.”、“Indiana Univ. Math. J.”、“Nonlinearity”、“J. Differential Equations”等数学期刊。先后主持国家自然科学基金两项。

报告时间：2022年9月15日（周四），上午9:30-10:30

报告地点：腾讯会议

邀请人：陶涛

联系人：陶涛，联系方式：taotao@sdu.edu.cn