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Regularization by transport noises for 3D MHD equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 20
Authors:  Luo, Dejun
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magnetohydrodynamical equation  vorticity  well-posedness  regularization by noises  transport noise  
Local uniqueness of vortices for 2D steady Euler flow in a bounded domain 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 卷号: 283, 期号: 9, 页码: 43
Authors:  Cao, Daomin;  Yu, Weilin;  Zou, Changjun
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The steady Euler equation  Kirchhoff-Routh function  Local uniqueness  Nonlinear stability  
GLOBAL WELL-POSEDNESS OF THE 3D NAVIER-STOKES EQUATIONS PERTURBED BY A DETERMINISTIC VECTOR FIELD 期刊论文
ANNALS OF APPLIED PROBABILITY, 2022, 卷号: 32, 期号: 4, 页码: 2568-2586
Authors:  Flandoli, Franco;  Hofmanova, Martina;  Luo, Dejun;  Nilssen, Torstein
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3D Navier-Stokes equations  vorticity form  well-posedness  regularization by noise  Wong-Zakai principle  
Asymptotic behaviour of global vortex rings 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 7, 页码: 3680-3705
Authors:  Cao, Daomin;  Wan, Jie;  Wang, Guodong;  Zhan, Weicheng
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incompressible Euler equations  vortex ring  variational method  dcsingularization  
Vortex patch problem for steady lake equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 卷号: 63, 期号: 6, 页码: 25
Authors:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
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On desingularization of steady vortex for the lake equations 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2022, 卷号: 87, 期号: 1, 页码: 50-79
Authors:  Cao, Daomin;  Zhan, Weicheng;  Zou, Changjun
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steady vortex solutions  elliptic equations  variational method  desingularization  maximizer  
MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 2, 页码: 1488-1514
Authors:  Cao, Daomin;  Wan, Jie
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steady vortex patch  desingularization  Kirchhoff--Routh function  Robin function  variational method  
PLANAR VORTICES IN A BOUNDED DOMAIN WITH A HOLE 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2021, 卷号: 29, 期号: 6, 页码: 4229-4241
Authors:  Yan, Shusen;  Yu, Weilin
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The Euler flow  semilinear elliptic equation  variational method  free boundary problem  reduction  
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system 期刊论文
Nonlinearity, 2021, 卷号: 34, 期号: 12
Authors:  Luo,Dejun
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2D Boussinesq system  vorticity formulation  transport noise  weak convergence  60H15  35Q35  
Traveling vortex pairs for 2D incompressible Euler equations 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 卷号: 60, 期号: 5, 页码: 16
Authors:  Cao, Daomin;  Lai, Shanfa;  Zhan, Weicheng
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35J60  35Q31  76B47