学术报告：Exponential Decay for Lions-Feireisl's Weak Solutions to the Barotropic Compressible Navier-Stokes Equations in 3D Bounded Domains-厦门大学偏微分方程课题组

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学术报告：Exponential Decay for Lions-Feireisl's Weak Solutions to the Barotropic Compressible Navier-Stokes Equations in 3D Bounded Domains

发布时间：2020年12月02日浏览：

Speaker：Prof. Shi Xiaoding

Beijing University of Chemical Technology

Title: Exponential Decay for Lions-Feireisl's Weak Solutions to the Barotropic Compressible Navier-Stokes Equations in 3D Bounded Domains

Time：5^th, Dec., 2020, 09:00

Location：实验楼105 (线下)

Abstract:

In this talk, we will consider the barotropic compressible Navier-Stokes equations in three-dimensional (3D) bounded domains, we prove that any finite energy weak solution obtained by Lions [Mathematical topics in fluid mechanics, Vol. 2. Compressible models (1998)] and Feireisl-Novotny-Petzeltova [J. Math. Fluid Mech. 3(2001), 358-392] decays exponentially to the equilibrium state. This result is established by both using the extra integrability of the density due to Lions and constructing a suitable Lyapunov functional just under the framework of Lions-Feireisl's weak solutions.

Speaker Introduction：

施小丁，博士，北京化工大学教授、博士生导师。1990年本科和1993年硕士毕业于北京师范大学，1996年博士毕业于中国科学院数学与系统科学研究院。主要从事非线性偏微分方程的研究，主持国家自然科学基金等多项项目，论文发表在CMP、SIMA、Indiana Univ. Math.J.等国际重要数学期刊。