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On the dynamics of the roots of polynomials under differentiation

 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2022, 卷号: 162, 页码: 1-22
作者:  Alazard, Thomas;  Lazar, Omar;  Nguyen, Quoc Hung
收藏  |  浏览/下载：142/0  |  提交时间：2023/02/07
Transport equations  Nonlocal operators  Well-posedness  Regularity  
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
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：246/0  |  提交时间：2021/04/26
3D Navier–  Stokes equations  Well posedness  Regularization by noise  Transport noise  Vorticity blow-up control  
A constrained transport divergence-free finite element method for incompressible MHD equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 428, 页码: 22
作者:  Li, Lingxiao;  Zhang, Donghang;  Zheng, Weiying
收藏  |  浏览/下载：208/0  |  提交时间：2021/04/26
Magnetohydrodynamic equations  Constrained transport  Magnetic vector potential  Divergence-free finite element method  Block preconditioner  
Exact Splitting Methods for Kinetic and Schrodinger Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 86, 期号: 1, 页码: 35
作者:  Bernier, Joackim;  Crouseilles, Nicolas;  Li, Yingzhe
收藏  |  浏览/下载：190/0  |  提交时间：2021/04/26
Exact splitting  Transport equations  Kinetic equations  Schrodinger equations  
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：192/0  |  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  
Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations 期刊论文
JOURNAL OF EVOLUTION EQUATIONS, 2020, 页码: 34
作者:  Flandoli, Franco;  Galeati, Lucio;  Luo, Dejun
收藏  |  浏览/下载：250/0  |  提交时间：2020/09/23
2D Euler equations  Vorticity  Transport noise  Scaling limit  2D Navier-Stokes equations  
MODIFIED POISSON-NERNST-PLANCK MODEL WITH ACCURATE COULOMB CORRELATION IN VARIABLE MEDIA 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 1, 页码: 226-245
作者:  Liu, Pei;  Ji, Xia;  Xu, Zhenli
收藏  |  浏览/下载：260/0  |  提交时间：2018/07/30
charge transport  ion correlation  continuum theory for electrostatics  asymptotic expansion  Green's function  Poisson-Nernst-Planck equations  
Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5074-5114
作者:  Fanelli, Francesco;  Liao, Xian
收藏  |  浏览/下载：178/0  |  提交时间：2018/07/30
Zero-Mach number system  Endpoint Besov spaces  Well-posedness  Lifespan  Parabolic equations  Transport equations  
The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients 期刊论文
ANALYSIS AND APPLICATIONS, 2015, 卷号: 13, 期号: 5, 页码: 555-589
作者:  Li, Mingjie;  Wang, Teng;  Wang, Yi
收藏  |  浏览/下载：232/0  |  提交时间：2018/07/30
Compressible Navier-Stokes equations  temperature-dependent transport coefficients  zero dissipation limit  rarefaction wave  vacuum  
Transport equations and quasi-invariant flows on the Wiener space 期刊论文
BULLETIN DES SCIENCES MATHEMATIQUES, 2010, 卷号: 134, 期号: 3, 页码: 295-328
作者:  Fang, Shizan;  Luo, Dejun
收藏  |  浏览/下载：285/0  |  提交时间：2018/08/04
Wiener space  Transport equations  Commutator estimate  Quasi-invariant Rows  Malliavin calculus