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报告题目：Formation of singularities for the relativistic membrane equation with radial symmetry
报 告 人：陶涛，山东大学
报告摘要：In this talk, we consider the vanishing viscosity limit of the forced steady Navier-Stokes equations with the total Navier-slip boundary condition and fixed flux in a horizontally periodic strip. First, we choose a shear Euler flow which is determined by the external force, wall velocity and the flux of the Navier-Stokes equations. Then, by constructing higher order approximate solutions and establishing the well-posedness of error equations, we construct solutions to the Navier-Stokes equations which converges to the Euler flow as the viscosity approaches to zero.
报告人简介：陶涛,山东大学教授，主要从事不可压缩流体方程组的研究，特别是Convex Integration在不可压缩流体方程组中的应用(构造奇异耗散弱解)以及不可压缩Navier-Stokes方程的粘性消失极限, 研究成果发表在Comm. Math.Phys.，Advances in Mathematics, J.Math.Pures Appl.，J.Funct.Anal.，SIAM J. Math. Anal.，Calc.Var.Partial Differential Equations等国际期刊上。
报告时间：2025年12月29日 14:00-17:30
报告地点：文渊楼B119
主办单位：数学与统计学院
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