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INCOMPRESSIBLE: 作品数：304被引量：295H指数：6; 导出分析报告; 相关作者：刘成杰杨伟明赵宇宏王凡侯华更多>>; 相关机构：杭州师范大学北京应用物理与计算数学研究所青海大学北京计算科学研究中心更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金上海市教育委员会重点学科基金更多>>

GLOBAL UNIQUE SOLUTIONS FOR THE INCOMPRESSIBLE MHD EQUATIONS WITH VARIABLE DENSITY AND ELECTRICAL CONDUCTIVITY: 《Acta Mathematica Scientia》2024年第5期1747-1765,共19页Xueli KE; supported by the National Natural Science Foundation of China(12371211,12126359);the postgraduate Scientific Research Innovation Project of Hunan Province(XDCX2022Y054,CX20220541).; We study the global unique solutions to the 2-D inhomogeneous incompressible MHD equations,with the initial data(u0,B0)being located in the critical Besov space■and the initial densityρ0 being close to a positive co...; 关键词：inhomogeneous MHD equations electrical conductivity global unique solutions

WEAK-STRONG UNIQUENESS FOR THREE DIMENSIONAL INCOMPRESSIBLE ACTIVE LIQUID CRYSTALS: 《Acta Mathematica Scientia》2024年第4期1415-1440,共26页Fan YANG Congming LI; partially supported by NSFC(11831003,12031012);the Institute of Modern Analysis-A Frontier Research Center of Shanghai。; The hydrodynamics of active liquid crystal models has attracted much attention in recent years due to many applications of these models.In this paper,we study the weak-strong uniqueness for the Leray-Hopf type weak so...; 关键词：analysis of parabolic and elliptic types weak-strong uniqueness active liquid crystals weak solution energy equality

CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET: 《Acta Mathematica Scientia》2024年第1期234-246,共13页王晓慧; supported in part by the National Natural Science Foundation of China(12101088);the Natural Science Foundation of Sichuan Province(2022NSFSC1858)。; This paper is devoted to the study of the shape of the free boundary for a threedimensional axisymmetric incompressible impinging jet.To be more precise,we will show that the free boundary is convex to the fluid,provi...; 关键词：Euler system axisymmetric impinging jet INCOMPRESSIBLE free boundary CONVEXITY

THE REGULARITY CRITERIA OF WEAK SOLUTIONS TO 3D AXISYMMETRIC INCOMPRESSIBLE BOUSSINESQ EQUATIONS被引量：1: 《Acta Mathematica Scientia》2023年第6期2387-2397,共11页董玉黄耀芳李莉卢青; supported by the NSFC (12271276)。; In this paper,we obtain new regularity criteria for the weak solutions to the three dimensional axisymmetric incompressible Boussinesq equations.To be more precise,under some conditions on the swirling component of vo...; 关键词：Boussinesq equations regularity criteria AXISYMMETRY

GLOBAL REGULARITY OF 2D INCOMPRESSIBLE MAGNETO-MICROPOLAR FLUID EQUATIONS WITH PARTIAL VISCOSITY: 《Acta Mathematica Scientia》2023年第3期1275-1300,共26页林红霞刘森张恒白茹; Lin was supported by the Sichuan Science and Technology Program (2023NSFSC0056);the NNSF of China (11701049);the China Postdoctoral Science Foundation (2017M622989)。; This paper studies the global regularity of 2D incompressible anisotropic magnetomicropolar fluid equations with partial viscosity. Ma [22](Ma L. Nonlinear Anal: Real World Appl, 2018, 40: 95–129) examined the global...; 关键词：magneto-micropolar fluid equations partial dissipation global regularity regular criteria

VANISHING VISCOSITY LIMIT FOR THE 3D INCOMPRESSIBLE MICROPOLAR EQUATIONS IN A BOUNDED DOMAIN: 《Acta Mathematica Scientia》2023年第2期959-974,共16页储洋洋肖跃龙; supported by the NSFC(11871412);the Postgraduate Scientific Research Innovation Project of Xiangtan University(XDCX2020B088)。; In this paper,we investigate the vanishing viscosity limit of the 3D incompressible micropolar equations in bounded domains with boundary conditions.It is shown that there exist global weak solutions of the micropolar...; 关键词：incompressible micropolar equations initial-and boundary-valuc problcm van-ishingviscositylimit

ZERO KINEMATIC VISCOSITY-MAGNETIC DIFFUSION LIMIT OF THE INCOMPRESSIBLE VISCOUS MAGNETOHYDRODYNAMIC EQUATIONS WITH NAVIER BOUNDARY CONDITIONS: 《Acta Mathematica Scientia》2021年第5期1503-1536,共34页Fucai LI Zhipeng ZHANG; supported partially by NSFC(11671193,11971234);supported partially by the China Postdoctoral Science Foundation(2019M650581).; We investigate the uniform regularity and zero kinematic viscosity-magnetic diffusion limit for the incompressible viscous magnetohydrodynamic equations with the Navier boundary conditions on the velocity and perfectl...; 关键词：incompressible viscous MHD equations ideal incompressible MHD equations Navier boundary conditions zero kinematic viscosity-magnetic diffusion limit

ENERGY CONSERVATION FOR SOLUTIONS OF INCOMPRESSIBLE VISCOELASTIC FLUIDS: 《Acta Mathematica Scientia》2021年第4期1287-1301,共15页Yiming HE Ruizhao ZI; R.Zi is partially supported by the National Natural Science Foundation of China(11871236 and 11971193);the Natural Science Foundation of Hubei Province(2018CFB665);the Fundamental Research Funds for the Central Universities(CCNU19QN084).; Some sufficient conditions of the energy conservation for weak solutions of incompressible viscoelastic flows are given in this paper.First,for a periodic domain in R^(3),and the coefficient of viscosity μ=0,energy c...; 关键词：Incompressible viscoelastic fluids weak solutions energy conservation

WEAK SOLUTION TO THE INCOMPRESSIBLE VISCOUS FLUID AND A THERMOELASTIC PLATE INTERACTION PROBLEM IN 3D: 《Acta Mathematica Scientia》2021年第1期19-38,共20页Srdan TRIFUNOVIC Yaguang WANG; partially supported by National Natural Science Foundation of China(11631008)。; In this paper we deal with a nonlinear interaction problem between an incompressible viscous fluid and a nonlinear thermoelastic plate.The nonlinearity in the plate equation corresponds to nonlinear elastic force in v...; 关键词：fluid-structure interaction incompressible viscous fluid nonlinear thermoelastic plate three space variables weak solution

ON VORTEX ALIGNMENT AND THE BOUNDEDNESS OF THE Lq-NORM OF VORTICITY IN INCOMPRESSIBLE VISCOUS FLUIDS: 《Acta Mathematica Scientia》2020年第6期1700-1708,共9页Siran LI; We show that the spatial L q-norm(q>5/3)of the vorticity of an incompressible viscous fluid in R^3 remains bounded uniformly in time,provided that the direction of vorticity is Hölder continuous in space,and that the ...; 关键词：Navier-Stokes equations VORTICITY regularity vortex alignment weak solution strong solution incompressible fluid

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