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Regularization by transport noises for 3D MHD equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2022, 页码: 20
作者:  Luo, Dejun
收藏  |  浏览/下载：91/0  |  提交时间：2023/02/07
magnetohydrodynamical equation  vorticity  well-posedness  regularization by noises  transport noise  
Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 140, 页码: 236-286
作者:  Luo, Dejun;  Zhu, Rongchan
收藏  |  浏览/下载：150/0  |  提交时间：2022/04/02
Modified Surface Quasi-Geostrophic equation  Transport noise  White noise solution  Scaling limit  Weak convergence  
Delayed blow-up by transport noise 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 32
作者:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
收藏  |  浏览/下载：187/0  |  提交时间：2021/06/01
Dissipation enhancement  Fisher–  KPP equation  Keller–  Segel equation  Kuramoto–  Sivashinsky equation  scaling limit  transport noise  
SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS 期刊论文
ANALYSIS & PDE, 2021, 卷号: 14, 期号: 8, 页码: 2539-2559
作者:  Brue, Elia;  Quoc-Hung Nguyen
收藏  |  浏览/下载：154/0  |  提交时间：2022/04/02
ordinary differential equations with nonsmooth vector fields  continuity equation  transport equation  regular Lagrangian flow  BV function  log-Sobolev space  Bressan's mixing conjecture  
A scaling limit for the stochastic mSQG equations with multiplicative transport noises 期刊论文
STOCHASTICS AND DYNAMICS, 2020, 卷号: 20, 期号: 6, 页码: 21
作者:  Luo, Dejun;  Saal, Martin
收藏  |  浏览/下载：183/0  |  提交时间：2021/01/14
Modified Surface Quasi-Geostrophic equation  transport noise  scaling limit  weak convergence  
GLOBAL SMOOTH SOLUTION FOR THE SIPN-POLARIZED TRANSPORT EQUATION WITH LANDAU-LIFSHITZ-BLOCH EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 卷号: 25, 期号: 7, 页码: 2825-2840
作者:  Guo, Boling;  Li, Fangfang
收藏  |  浏览/下载：177/0  |  提交时间：2020/05/24
Spin-polarized transport equation  Landau-Lifshitz theory  Landau-Lifshitz-Bloch equation  temperature-dependent magnetic theory  global solution  
Convergence of the Modified Discrete Ordinates Method for the Anisotropic Scattering Transport Equation 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2015, 卷号: 31, 期号: 9, 页码: 1449-1460
作者:  Zhang, Xin
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
Anisotropic scattering transport equation  modified discrete ordinates method  norm convergence  eigenvalue  
Fokker-Planck type equations with Sobolev diffusion coefficients and BV drift coefficients 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 2, 页码: 303-314
作者:  Luo De Jun
收藏  |  浏览/下载：114/0  |  提交时间：2021/01/14
VECTOR-FIELDS  TRANSPORT-EQUATION  CAUCHY-PROBLEM  DIPERNA-LIONS  UNIQUENESS  SPACES  DEGENERATE  EXISTENCE  DiPerna-Lions theory  Fokker-Planck equation  stochastic differential equation  BV regularity  commutator estimate  
Uniqueness of C (0)-semigroups on a general locally convex vector space and an application 期刊论文
SEMIGROUP FORUM, 2011, 卷号: 82, 期号: 3, 页码: 485-496
作者:  Lemle, Ludovic Dan;  Wu, Liming
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
C-0-semigroups  L-1-uniqueness  Weak solution  Mass transport equation  
On the global existence and wave-breaking criteria for the two-component Camassa-Holm system 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 卷号: 258, 期号: 12, 页码: 4251-4278
作者:  Gui, Guilong;  Liu, Yue
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/30
Global solutions  Transport equation theory  Two-component Camassa-Holm system  Wave breaking