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Weak convergence of branched conformal immersions with uniformly bounded areas and Willmore energies 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 4, 页码: 781-798
Authors:  Wei, Guodong
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Willmore functional  bubble tree  conformal immersion  
High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2021, 页码: 55
Authors:  Flandoli, Franco;  Luo, Dejun
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3D Navier–  Stokes equations  Well posedness  Regularization by noise  Transport noise  Vorticity blow-up control  
THE NUMBER OF POSITIVE SOLUTIONS TO THE BREZIS-NIRENBERG PROBLEM 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 3, 页码: 1947-1985
Authors:  Cao, Daomin;  Luo, Peng;  Peng, Shuangjie
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Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
Delayed blow-up by transport noise 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 32
Authors:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
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Dissipation enhancement  Fisher–  KPP equation  Keller–  Segel equation  Kuramoto–  Sivashinsky equation  scaling limit  transport noise  
JOHN-NIRENBERG RADIUS AND COLLAPSING IN CONFORMAL GEOMETRY 期刊论文
ASIAN JOURNAL OF MATHEMATICS, 2020, 卷号: 24, 期号: 5, 页码: 759-782
Authors:  Li, Yuxiang;  Wei, Guodong;  Zhou, Zhipeng
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John-Nirenberg Radius  scalar curvature equation  Blow up analysis  
On global classical solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 页码: 24
Authors:  Lu, Boqiang;  Wang, Yixuan;  Wu, Yuhang
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compressible Navier-Stokes equations  density-dependent viscosity  global classical solutions  large-time behavior  vacuum  
ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 12, 页码: 6837-6854
Authors:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
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Stochastic nonlinear Schrodinger equation  multiplicative noise  global existence  blow-up  exponential integrability  
Some remarks about the possible blow-up for the Navier-Stokes equations 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2019, 页码: 19
Authors:  Chemin, Jean-Yves;  Gallagher, Isabelle;  Zhang, Ping
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Anisotropic Littlewood-Paley Theory  blow-up criteria  incompressible Navier-Stokes equations  
Sign-changing bubble tower solutions for the supercritical H,non-type equations 期刊论文
ANNALI DI MATEMATICA PURA ED APPLICATA, 2018, 卷号: 197, 期号: 4, 页码: 1227-1246
Authors:  Cao, Daomin;  Liu, Zhongyuan;  Peng, Shuangjie
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Sign-changing bubble tower solutions  Henon-type equation  Lyapunov-Schmidt reduction  
ON THE INTERIOR REGULARITY CRITERIA OF THE 3-D NAVIER-STOKES EQUATIONS INVOLVING TWO VELOCITY COMPONENTS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 卷号: 38, 期号: 5, 页码: 2609-2627
Authors:  Wang, Wendong;  Zhang, Liqun;  Zhang, Zhifei
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Interior regularity criteria  Navier-Stokes equations  LPS criterion  harmonic function  suitable weak solution