中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
Speaker: Professor Tao Luo, City University of Hong Kong
Time: 16:30-17:30, Apr. 26, 2019 (Fri)
Place: N913, South building
Abstract: In this talk, I will discuss the physical significance of physical vacuum singularity to the evolution of gas-vacuum interfaces, its mathematical challenge in the well -posedness theory and the role played by which to the dynamics of solutions. Comparison of physical vacuum singularity with the Taylor sign condition of incompressible fluids or compressible fluids away from vacuum states will be discussed. I will also discuss the role of the Taylor sign condition played to MHD free surfaces. The estimates and geometry of a free surface problem of highly subsonic inviscid heat-conductive flow will be presented.