报告地点：行健楼544
邀请人：寿凌云副教授
摘要：In this talk, we are concerned with the stability of contact waves for the two species Vlasov-Poisson-Landau system with slab symmetry for the physical Coulomb interaction. Our results are twofold. First, we construct the unique global-in-time solution near a local Maxwellian for the Vlasov-Poisson-Landau system with suitably small initial data, where the fluid components of the local Maxwellian are called viscous contact waves in the sense of hydrodynamics. Second, we prove the large time asymptotics of global solutions towards such local Maxwellian, and establish the time decay rates of the disparity between two species and the electric field. The proof is based on the two different sets of decompositions of the solutions and the intricate weighted energy method.
报告人简介：杨东成，华南理工大学副教授，2020年获华南师范大学博士学位，随后于2020年至2024年在香港中文大学开展博士后研究。主要从事Boltzmann方程、Landau方程等动理学方程中波的稳定性与流体动力学极限的数学理论研究，取得了一系列研究成果，发表于 Comm. Math. Phys.、Arch. Ration. Mech. Anal.、J. Math. Pures Appl.、Ann. Inst. H. Poincaré C Anal. Non Linéaire、Math. Models Methods Appl. Sci. 等国际数学期刊。主持国家自然科学基金项目一项。
