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In this talk, we shall prove the global existence and the large time decay estimate of solutions to compressible Prandtl system with small initial data, which is analytical in the tangential variable....
In this talk, we consider the large time behavior of the weak solution to the free boundary problem for one-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosity and va...
We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric descripti...
We derive the classical compressible Euler equation as the limit of 3D quantum N-particle dynamics as N tends to infinity and Planck's constant tends to zero. We establish strong and quantitative conv...
We discuss a stabilizing effect of boundary in the context of Vlasov equations: 1) linear Vlasov equation with the diffuse reflection boundary condition, 2) nonlinear Vlasov-Poisson equation with infl...
中国化学会第十六届全国流变学学术会议主要内容为:流变本构理论与模型、流变学测试技术、岩土与地质流变学、工业流变学、聚合物及其加工流变学、电-磁-光流变学、多相多组分体系流变学、食品、医药与生物流变学、石油流变学、流变学教育与普及。
2023年1月7-8日,由中国力学学会主办、大连理工大学承办的“中国力学学会第三届全国力学博士生学术论坛”以线上报告及交流的形式成功召开。大连理工大学力学系主任郭旭教授担任本次论坛主席。此次论坛得到了中国力学学会青年工作委员会与工业装备结构分析优化与CAE软件全国重点实验室的大力支持,并通过多个网络平台同步直播。
2023年1月10-14日,第十届全国固体力学青年学者学术研讨会在海南省文昌市顺利召开,会议由国家自然科学基金委员会数理科学部、中国力学学会青年工作委员会主办,西北工业大学和兰州大学联合承办,以线上、线下结合的方式召开。研讨会围绕“服务国家重大需求,面向固体力学发展前沿”这一主题进行了广泛而深入的研讨和交流。中国科学院郑晓静院士、中国科学院张卫红院士、中国科学院周又和院士、国家自然科学基金委员会数...
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
Hydrodynamic stability at high Reynolds number is a central topic in fluid mechanics. It is closely related to turbulence. Whereas the laminar velocity profile is linearly stable for all Reynolds numb...
The scattering problems for elastic waves have recently received ever increasing attentions in both the engineering and mathematical communities for their important applications in geophysics and seis...
We provide an unconditional $L^2$ upper bound for the boundary layer separation of 3D Leray--Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy between a (turbulen...
We develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis [Soviet Physics JETP, 1972]. We show that the energy stability of the weak solutions to the model ...
In this talk, we will discuss the resolvent problem for the linearized one of the free surface problem of compressible, viscous and heat-conducting fluid, which is a problem in an infinite strip domai...

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