中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：闫伟 教授（吉林大学）
地 点：腾讯会议：223-742-011
题 目：Global large strong solutions to the 2D radially symmetric compressible Navier-Stokes equations on bounded domain
时 间：2023.11.15（星期三）上午09:00-10:00
摘 要：In this talk, I will present our recent result the 2D radially symmetric compressible Navier-Stokes equations with density-dependent viscosity. Under the condition of beta>1, we prove the global existence of the radially symmetric strong solutions to the Kazhikhov models under Dirichlet boundary conditions for arbitrary large initial data. This improves the previous results of previous results for general 2D domains where $\beta>4/3$ is required to ensure global existence. This is the first result concerning the global existence of classical solutions to the radially symmetric compressible Navier-Stokes equations in 2D solid balls under Dirichlet boundary condition.
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题 目：Global strong solutions to the two-dimensional radially symmetric compressible MHD
时 间：2023.11.15（星期三）上午10:00-11:00
摘 要：In this talk, I will present our recent result the 2D radially symmetric compressible MHD with density-dependent viscosity. Under the condition of beta>1, we prove the global existence of the radially symmetric strong solutions to the initial-boundary problems with Dirichlet boundary conditions for arbitrary large initial data. This improve the previous result of the compressible Navier-Stokes equations to the compressible MHD.
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