INCOMPRESSIBLE

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Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data In memory of Professor Geneviève Raugel被引量：2
《Science China Mathematics》2022年第6期1109-1146,共38页Marius Paicu Ping Zhang 
supported by K.C.Wong Education Foundation;supported by the Agence Nationale de la Recherche,Project IFSMACS(Interaction Fluide-Structure:Modélisation,analyse,contr?le et simulation)(Grant No.ANR-15-CE40-0010);supported by National Basic Research Program of China(Grant No.2021YFA1000800);National Natural Science Foundation of China(Grants Nos.11731007,12031006 and 11688101)。
We investigate the hydrostatic approximation of a hyperbolic version of Navier-Stokes equations,which is obtained by using the Cattaneo type law instead of the Fourier law,evolving in a thin strip R×(0,ε).The formal...
关键词：incompressible hyperbolic Navier-Stokes equations hydrostatic approximation hyperbolic Prandtl system 
A Class of Large Solutions to the 3D Incompressible MHD and Euler Equations with Damping
《Acta Mathematica Sinica,English Series》2018年第1期63-78,共16页Yi ZHOU Yi ZHU 
Supported by Key Laboratory of Mathematics for Nonlinear Sciences(Fudan University);Ministry of Education of China,P.R.China,Shanghai Key Laboratory for Contemporary Applied Mathematics;School of Mathematical Sciences,Fudan University,P.R.China,NSFC(Grant No.11421061);973 Program(Grant No.2013CB834100);111 project
In this paper, we derive the global existence of smooth solutions of the 3D incompressible Euler equations with damping for a class of large initial data, whose Sobolev norms H8 can be arbitrarily large for any s ≥0...
关键词：Large solutions euler equations MHD equations DAMPING 
Incompressible Magnetohydrodynamic Kelvin-Helmholtz Instability with Continuous Profiles被引量：1
《Chinese Physics Letters》2014年第3期23-26,共4页ZHAO Kai-Ge WANG Li-Feng YE Wen-Hua WU Jun-Feng LI Ying-Jun 
Supported by the National Natural Science Foundation of China under Grant Nos 11275031, 11075024, 11274026 and 11074300, and the National Basic Research Program of China under Grant Nos 2013CB834100 and 2013CBA01504.
Effects of a continuous magnetic field in the direction of streaming on the incompressible Kelvin–Helmholtz instability （KHI） are investigated by solving the linear ideal magnetohydrodynamic equations. It is found ...
Nonlinear instability for nonhomogeneous incompressible viscous fluids被引量：3
《Science China Mathematics》2013年第4期665-686,共22页JIANG Fei JIANG Song NI GuoXi 
supported by National Natural Science Foundation of China (Grant Nos. 11101044,11271051,11229101 and 91130020);National Basic Research Program of China (Grant No.2011CB309705)
We investigate the nonlinear instability of a smooth steady density profile solution to the threedimensional nonhomogeneous incompressible Navier-Stokes equations in the presence of a uniform gravitational field,inclu...
关键词：nonhomogeneous Navier-Stokes equations steady density profile Rayieigh-Taylor instability incompressible viscous flows 
Exact solutions to one-dimensional transient response of incompressible fluid-saturated single-layer porous media被引量：2
《Applied Mathematics and Mechanics(English Edition)》2013年第1期75-84,共10页单振东 凌道盛 丁皓江 
Project supported by the Earthquake Administration Foundation for Seismological Researches of China(No.200808022);the National Natural Science Foundation of China(Nos.50778163 and 50708095);the National Basic Research Program of China(No.2007CB714200)
Based on the Biot theory of porous media, the exact solutions to one- dimensional transient response of incompressible saturated single-layer porous media un- der four types of boundary conditions are developed. In th...
关键词：transient response incompressible porous medium exact solution saturated 
Lattice BGK Model for Incompressible Axisymmetric Flows
《Communications in Computational Physics》2012年第5期1569-1590,共22页Ting Zhang Baochang Shi Zhenhua Chai Fumei Rong 
One of authors(T.Zhang)is grateful to Liang Wang for useful discussions.This work is financially supported by the National Basic Research Program of China(Grant No.2011CB707305);the National Natural Science Foundation of China(Grant Nos.51006040 and 51006039);the Fundamental Research Funds for the Central Universities,Hust(Grant Nos.2010MS131 and 2010JC005).
In this paper,a lattice Boltzmann BGK(LBGK)model is proposed for simulating incompressible axisymmetric flows.Unlike other existing axisymmetric lattice Boltzmann models,the present LBGK model can eliminate the compre...
关键词：Lattice BGK model incompressible axisymmetric 
A typhoon-like vortex solution of incompressible 3D inviscid flow被引量：4
《Theoretical & Applied Mechanics Letters》2011年第4期45-46,共2页L.Sun 1,2,a) 1) School of Earth and Space Sciences,University of Science and Technology of China,Hefei 230026,China 2) LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China 
supported by the National Basic Research Program of China(2007CB816004);Innovation Program of the Chinese Academy of Sciences (KZCX2-YW-QN514)
This letter obtains a typhoon-like vortex solution by solving the Bragg-Hawthorne equation.The solution describes spiral paths of fluid material element on the Bernoulli surface,whereas some new exact solutions are ob...
关键词：Euler equations exact solution umbrella vortex TYPHOON 
ON A NEW 3D MODEL FOR INCOMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS
《Acta Mathematica Scientia》2010年第6期2089-2102,共14页王术 
supported by National Basic Research Program of China(973 Program, 2011CB808002);the NSFC (11071009);PHR-IHLB (200906103)
In this paper, we investigate some new properties of the incompressible Euler and Navier-Stokes equations by studying a 3D model for axisymmetric 3D incompressible Euler and Navier-Stokes equations with swirl. The 3D ...
关键词：finite time singularities nonlinear nonlocal system stabilizing effect of con- vection incompressible Euler and Navier-Stokes equations 
A Weakly Nonlinear Model for Kelvin-Helmholtz Instability in Incompressible Fluids被引量：1
《Chinese Physics Letters》2009年第7期211-214,共4页王立锋 叶文华 范征锋 薛创 李英骏 
Supported by the National Basic Research Program of China under Grant No 2007CB815100, the Research Fund for the Doctoral Program of Higher Education of China under Grant No 20070290008, and the National Natural Science Foundation of China under Grant Nos 10775020 and 10874242.
A weakly nonlinear model is proposed for the Kelvin-Helmholtz instability in two-dimensional incompressible fluids by expanding the perturbation velocity potential to third order. The third-order harmonic generation e...
The theoretical research of basic function method in incompressible viscous flow and its simulations in three-dimensional aneurysms
《Science China(Physics,Mechanics & Astronomy)》2009年第6期909-918,共10页SHEN Fang1 & WU WangYi2 1 State Key Laboratory for Space Weather, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190, China 2 State Key Laboratory of Turbulence and Complex Systems & Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China 
Supported by the National Natural Foundation of China (Grant Nos.40874077,40504020,and 40536029);the National Basic Research Program of China (Grant No.2006CB806304)
Basic function method is developed to treat the incompressible viscous flow. Artificial compressibility coefficient, the technique of flux splitting method and the combination of central and upwind schemes are applied...
关键词：basic function UNSTRUCTURED grid ANEURYSM VISCOUS INCOMPRESSIBLE flow artificial COMPRESSIBILITY flux splitting 
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