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GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY 期刊论文
KINETIC AND RELATED MODELS, 2022, 页码: 45
作者:  Wang, Yong;  Xiao, Changguo;  Zhang, Yinghui
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
Quantum Boltzmann equation  large amplitude initial data  global existence  fermions  bosons  large time behavior  
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
作者:  Cao, Daomin;  Luo, Peng;  Peng, Shuangjie
收藏  |  浏览/下载：167/0  |  提交时间：2021/04/26
Critical Sobolev exponent  local Pohozaev identity  existence of solutions  exact number of solutions  Green's function  
Existence of smooth solutions for the compressible barotropic Navier-Stokes-Korteweg system without increasing pressure law 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 页码: 24
作者:  Huang, Feimin;  Hong, Hakho;  Shi, Xiaoding
收藏  |  浏览/下载：172/0  |  提交时间：2020/05/24
compressible Navier-Stokes-Korteweg system  existence  uniqueness  Van der Waals gas  
EULER-LAGRANGIAN APPROACH TO 3D STOCHASTIC EULER EQUATIONS 期刊论文
JOURNAL OF GEOMETRIC MECHANICS, 2019, 卷号: 11, 期号: 2, 页码: 153-165
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：162/0  |  提交时间：2020/01/10
Stochastic Euler equations  Euler-Lagrangian formulation  local existence  Holder space  vorticity  
Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles 期刊论文
ADVANCES IN MATHEMATICS, 2019, 卷号: 346, 页码: 946-1008
作者:  Chen, Gui-Qiang G.;  Huang, Fei-Min;  Wang, Tian-Yi;  Xiang, Wei
收藏  |  浏览/下载：148/0  |  提交时间：2019/12/13
Steady Euler flows  Large vorticity  Characteristic discontinuities  Free boundary  Existence  Uniqueness  
The Boltzmann Equation with Time-periodic Boundary Temperature 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 卷号: 35, 期号: 1, 页码: 174-208
作者:  Duan, Renjun;  Wang, Yong;  Zhang, Zhu
收藏  |  浏览/下载：193/0  |  提交时间：2020/01/10
Boltzmann equation  time-periodic boundary  time-periodic solutions  existence  dynamical stability  a priori estimates  
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 6, 页码: 2648-2670
作者:  Kim, Tujin;  Cao, Daomin
收藏  |  浏览/下载：184/0  |  提交时间：2018/07/30
Parabolic equation  Non-cylindrical domain  Mixed boundary condition  Existence  
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：88/0  |  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  
L-p-estimates and existence theorems for the partial derivative-operator on complete Kahler manifolds 期刊论文
ADVANCES IN MATHEMATICS, 2010, 卷号: 224, 期号: 2, 页码: 620-647
作者:  Li, Xiang-Dong
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
Kodaira Laplacian  partial derivative-Operator  L-p-estimates and existence theorem  L-p-cohomology  Bochner-Lichnerowicz-Weitzenbock formula  
Regularity of weak solutions to 3D incompressible Navier-Stokes equations 期刊论文
JOURNAL OF EVOLUTION EQUATIONS, 2010, 卷号: 10, 期号: 1, 页码: 195-204
作者:  Han, Pigong
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Navier-Stokes equations  Weak solution  Existence