INCOMPRESSIBLE

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  • 期刊=Acta Mathematicae Applicatae Sinicax
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Global Weak Solutions to a Fluid-particle System of an Incompressible Non-Newtonian Fluid and the Vlasov Equation
《Acta Mathematicae Applicatae Sinica》2024年第4期954-978,共25页Pei-yu ZHANG Li FANG Zhen-hua GUO 
supported by the National Natural Science Foundation of China(No.11931013);Natural Science Foundation of Guangxi(No.2022GXNSFDA035078)。
The purpose of this work is to investigate the existence and uniqueness of weak solutions to the initial-boundary value problem for a coupled system of an incompressible non-Newtonian fluid and the Vlasov equation.The...
关键词：incompressible non-Newtonian fluid Vlasov equation global weak solutions 
Analysis of a Linearized Energy Stable Numerical Scheme for a Modified Incompressible Cahn-Hilliard-Navier-Stokes System被引量：1
《Acta Mathematicae Applicatae Sinica》2023年第3期605-622,共18页Xue WANG Hong-en JIA Ming LI Kai-tai LI 
Supported by the Provincial Natural Science Foundation of Shanxi(No.201901D111123);Key Research and Development(R&D)Projects of Shanxi Province(No.201903D121038)。
In this paper,a linearized energy stable numerical scheme is used to solve the modified Cahn-Hilliard-Navier-Stokes model,which is a phase-field model for two-phase incompressible flows.The time discretization is base...
关键词：convex splitting two-phase incompressible flow energy stability mixed finite element NAVIER-STOKES 
Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Shear-thinning Flow
《Acta Mathematicae Applicatae Sinica》2021年第2期348-363,共16页Ya-zhou CHEN Hai-liang LI Xiao-ding SHI 
supported by the National Natural Science Foundation of China(Nos.11901025,11671027,11931010,11871047 and 11671384);by the key research project of Academy for Multidisciplinary Studies,Capital Normal University;by the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds(No.007/20530290068)。
This paper is devoted to the partial regularity of suitable weak solutions to the system of the incompressible shear-thinning flow in a bounded domainΩ■R^(n),n≥2.It is proved that there exists a suitable weak solut...
关键词：partial regularity suitable weak solutions shear-thinning flow 
On the Motion of Shear-Thinning Heat-Conducting Incompressible Fluid-Rigid System
《Acta Mathematicae Applicatae Sinica》2018年第3期534-552,共19页Ya-zhou CHEN Qiao-lin HE Xiao-ding SHI Teng WANG Xiao-ping WANG 
Supported by the National Natural Science Foundation of China(No.11671027,11601031,,11471321)
The full Navier-Stokes-Fourier system with mixed boundary condition that describes the motion of shear-thinning and incompressible viscous fluid in a rotating multi-screw extruder is investigated. The viscosity is ass...
关键词：SHEAR-THINNING heat-conducting INCOMPRESSIBLE fluid suitable weak solution 
Long Time L^1-behavior for the Incompressible Magneto-hydrodynamic Equations in a Half-space
《Acta Mathematicae Applicatae Sinica》2016年第4期933-944,共12页Zhao-xia LIU Xing-jiang YU 
Supported by the National Natural Science Foundation of China(Grant No.11611540331);Scientific Research Award Foundation of Minzu University of China(No.2016LXY08)
The large time Ll-behavior of the strong solution （including the first and second order spacial derivatives） to the incompressible magneto-hydrodynamic （MHD） equations is given in a half-space. The main tool emplo...
关键词：MHD equation strong solution asymptotic behavior HALF-SPACE 
A Note on the Blow-up Criterion of Smooth Solutions to the 3D Incompressible MHD Equations
《Acta Mathematicae Applicatae Sinica》2012年第4期639-642,共4页Sadek GALA 
In this note, we will give a new proof of the blow-up criterion of smooth solutions to the 3D incompressible magneto-hydrodynamic equations by a simple application of Gagliardo-Nirenberg＇ s inequality.
关键词：ideal MHD equations BLOW-UP littlewood-paley decomposition besov space 
On the Free Boundary to the Incompressible Euler Equations
《Acta Mathematicae Applicatae Sinica》2005年第3期389-398,共10页Ye-min Chen 
In this paper, we consider an inviscid, incompressible, irrotational fluid in a region of R^3 with free boundary. Motivated by [1], we find that in this particular case, we do not need the complicated energy functiona...
关键词：Incompressible Euler equation free boundary a priori estimate. 
FINITE ELEMENT METHOD FOR INCOMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA被引量：1
《Acta Mathematicae Applicatae Sinica》1993年第3期204-212,共9页李潜 陈焕贞 
Under the assumptions of nonlinear finite element and △t=o(h),Ewing and Wheeler discussed a Galerkin method for the single phase incompressible miscible displacement of one fluid by another in porous media.In the pre...
关键词：SHOW FINITE ELEMENT METHOD FOR INCOMPRESSIBLE MISCIBLE DISPLACEMENT IN POROUS MEDIA 
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