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学术报告会:Global classical solutions to the full compressible Navier-Stokes equation with slip boundary conditions

2024年10月14日 08:46  点击:[]

报告题目:Global classical solutions to the full compressible Navier-Stokes equation with slip boundary conditions

人: 吕博强(南昌大学   教授

报告时间20241014日周一1900

腾讯会议ID:267-178-788


AbstractThis talk concerned with the initial-boundary-value problem of the full compressible Navier-Stokes system with Navier-slip boundary conditions on the velocity and Neumann boundary one on the temperature in a three-dimensional simply connected bounded smooth domain. We establish the global existence of the classical and weak solutions, under the condition that the initial total energy is suitably small. It should be noted that the initial density and temperature are allowed to vanish. Moreover, for the classical solutions, the exponential decay rates at large time of the density, velocity, and temperature are described.


个人简介:

吕博强,博士,南昌大学特聘教授、博士生导师江西省省级人才,兼任江西省数学学会副理事长。主要从事流体力学方程的数学理论研究,在Arch. Rational Mech. Anal.》、J.Math. Pures Appl.》、《Indiana Univ. Math. J.》、《Nonlinearity》等国际数学刊物上发表论文;主持国家自然科学基金4项(面上2项,青年、天元各1项)、江西省自然科学基金3项(省杰青、一般、青年各1项)、中国博士后基金一等资助1项。





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