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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global large strong solutions to the 2D radially symmetric compressible Navier-Stokes equations on bounded domain
有界域 二维径向对称 可压缩Navier-Stokes方程 全局大强解
2023/12/11
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 exist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the construction of solutions to some inviscid free boundary problems
无粘 自由边界 解构造
2023/11/15
We will present our recent results on the local well-posedness of free boundary problems for some inviscid fluids. In particular, for each problem the solution is constructed as the vanishing viscosit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the construction of solutions to some inviscid free boundary problems
无粘 自由边界 问题解 构造
2023/12/11
We will present our recent results on the local well-posedness of free boundary problems for some inviscid fluids. In particular, for each problem the solution is constructed as the vanishing viscosit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Blowup of smooth solutions for compressible Navier-Stokes equations
可压缩 Navier-Stokes方程 光滑解 爆破
2023/11/15
In this talk，we discuss the finite time blow up phenomena of smooth solutions to the compressible Navier-Stokes system when the initial data contain vacuums. It is proved that any classical solutions ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convex integration and non-uniqueness of weak solutions for viscous fluids
粘性流体弱解 凸积分 非唯一性
2023/4/23
In this talk, I will discuss the method of convex integration and its applications on non-uniqueness of weak solutions to the hyper-viscous incompressible Navier-Stokes equations as well as the hypo-v...
袁源副研究员：Blowup of the entropy-bounded classical solutions to the nonisentropic compressible Navier-Stokes equations
非等熵 可压缩 纳维-斯托克斯方程 熵界经典解 爆炸
2023/4/11
This talk concerns the instantaneous blowup of entropy-bounded classical solutions to the vacuum free boundary problem or the Cauchy problem of nonisentropic compressible Navier-Stokes equations.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global existence and decay of solutions to compressible Prandtl system with small analytic data
少量分析数据 可压缩 Prandtl系统解 全局存在 衰减
2023/4/18
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....
Clusters of solutions and replica symmetry breaking in random k-satisfiability
Random formula decomposition quantity index
2015/8/21
We study the set of solutions of random k-satisfiability formulae through the cavity method. It is known that, for an interval of the clause-to-variables ratio, this decomposes into an exponenti...
Energy Estimates for Nonlinear Conservation Laws with Applications to Solutions of the Burgers Equation and One-Dimensional Viscous Flow in a Shock Tube by Central Difference Schemes
Energy Estimates Nonlinear Conservation Laws Applications Solutions Burgers Equation One-Dimensional Viscous Flow
2015/7/2
A prime focus in the development of computational fluid dynamics (CFD) for aeronautics has been the simulation of transonic and supersonic flows which generally contain shock waves, contac...
Energy Estimates for Nonlinear Conservation Laws with Applications to Solutions of the Burgers Equation and One-Dimensional Viscous Flow in a Shock Tube by Central Difference Schemes
Energy Estimates Central Diff erence Schemes
2015/6/18
The use of energy estimates to establish the stability of dis
crete approximations
to initial value problems has a long history. The energy meth
od is discussed in
the classical book by Morton and...
Holder continuity of solutions of supercritical dissipative hydrodynamic transport equations
Holder continuity solutions supercritical dissipative hydrodynamic transport equations
2014/4/4
We examine the regularity of weak solutions of quasi-geostrophic (QG) type equations with supercritical (α < 1/2) dissipation (−∆)α. This study is motivated by a recent work of Caffarelli ...
Stress analysis of functionally graded rotating discs:analytical and numerical solutions
Functional graded materials Stress analysis Analytical analysis Finite element analysis (FEA)
2012/2/28
This study deals with stress analysis of annular rotating discs made of functionally graded materials (FGMs).Elasticity modulus and density of the discs are assumed to vary radially according to a pow...
Doubly periodic patterns of modulated hydrodynamic waves: exact solutions of the Davey--Stewartson system
Free surface waves Periodic patterns Davey–Stewartson equations
2012/2/29
Exact doubly periodic standing wave patterns of the Davey--Stewartson (DS) equations are derived in terms of rational expressions of elliptic functions. In fluid mechanics, DS equations govern the evo...
Snakes and ladders: localized solutions of plane Couette flow
Snakes ladders plane Couette flow
2010/4/7
We demonstrate the existence of a large number of exact solutions of plane Couette flow, which share the topology of known periodic solutions but are localized in space. Solutions of different size ar...
Non-Linear Dynamic Analysis of Arch Dams: Eulerian and Lagrangian Solutions
Fluid-structure interaction Eulerian approach Lagrangian approach Drucker-Prager yield criterion
2009/10/13
In this study, Eulerian and Lagrangian finite element formulations are given for the dynamic interaction problem of a fluid-structure system. Non-linear dynamic analyses of Karakaya arch dam were perf...