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1

Global Solutions to the Coupled Chemotaxis-Fluid Equations

Duan, Renjun, Lorz, Alexander, Markowich, Peter

Journal:

Communications in Partial Differential Equations

Year:

2010

Language:

english

File:

PDF, 292 KB

english, 2010

2

[ACM Press the Ninth ACM International Conference - San Francisco, California, USA (2016.02.22-2016.02.25)] Proceedings of the Ninth ACM International Conference on Web Search and Data Mining - WSDM '16 - Scaling up Link Prediction with Ensembles

Duan, Liang, Aggarwal, Charu, Ma, Shuai, Hu, Renjun, Huai, Jinpeng

Year:

2016

Language:

english

File:

PDF, 520 KB

english, 2016

3

Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space

Renjun Duan, Robert M. Strain

Journal:

Communications on Pure and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 333 KB

english, 2011

4

On the Cauchy problem for the Boltzmann equation in the whole space: Global existence and uniform stability in

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 258 KB

english, 2008

5

Optimal Decay Estimates on the Linearized Boltzmann Equation with Time Dependent Force and their Applications

Renjun Duan, Seiji Ukai, Tong Yang, Huijiang Zhao

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 524 KB

english, 2008

6

A Kinetic Flocking Model with Diffusion

Renjun Duan, Massimo Fornasier, Giuseppe Toscani

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 517 KB

english, 2010

7

Decay Structure for Symmetric Hyperbolic Systems with Non-Symmetric Relaxation and its Application

Ueda, Yoshihiro, Duan, Renjun, Kawashima, Shuichi

Journal:

Archive for Rational Mechanics and Analysis

Year:

2012

Language:

english

File:

PDF, 324 KB

english, 2012

8

Air concentrations and wet deposition of major inorganic ions at five non-urban sites in China, 2001–2003

Wenche Aas, Min Shao, Lei Jin, Thorjørn Larssen, Dawei Zhao, Renjun Xiang, Jinhong Zhang, Jinsong Xiao, Lei Duan

Journal:

Atmospheric Environment

Year:

2007

Language:

english

File:

PDF, 587 KB

english, 2007

9

The Vlasov–Poisson–Boltzmann system in the whole space: The hard potential case

Renjun Duan, Tong Yang, Huijiang Zhao

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 323 KB

english, 2012

10

Dissipative Property of the Vlasov–Maxwell–Boltzmann System with a Uniform Ionic Background

Journal:

SIAM Journal on Mathematical Analysis

Year:

2011

Language:

english

File:

PDF, 305 KB

english, 2011

11

On the Cauchy problem for the two-component Euler–Poincaré equations

Duan, Renjun, Xiang, Zhaoyin

Journal:

Journal of Functional Analysis

Year:

2014

Language:

english

File:

PDF, 517 KB

english, 2014

12

Global Well-Posedness in Spatially Critical Besov Space for the Boltzmann Equation

Duan, Renjun, Liu, Shuangqian, Xu, Jiang

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 680 KB

english, 2016

13

The relativistic Boltzmann equation for soft potentials

Duan, Renjun, Yu, Hongjun

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 754 KB

english, 2017

14

Decay structure of two hyperbolic relaxation models with regularity loss

Ueda, Yoshihiro, Duan, Renjun, Kawashima, Shuichi

Journal:

Kyoto Journal of Mathematics

Year:

2017

Language:

english

File:

PDF, 420 KB

english, 2017

15

The Vlasov–Maxwell–Boltzmann System Near Maxwellians in the Whole Space with Very Soft Potentials

Renjun Duan,Yuanjie Lei,Tong Yang…

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 932 KB

english, 2017

16

Global existence and large time behavior for a two-dimensional chemotaxis-Navier–Stokes system

Duan, Renjun, Li, Xie, Xiang, Zhaoyin

Journal:

Journal of Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.31 MB

english, 2017

17

New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation

Ueda, Yoshihiro, Duan, Renjun, Kawashima, Shuichi

Journal:

Journal of Hyperbolic Differential Equations

Year:

2018

Language:

english

File:

PDF, 278 KB

english, 2018

18

The Boltzmann equation with large-amplitude initial data in bounded domains

Duan, Renjun, Wang, Yong

Journal:

Advances in Mathematics

Year:

2019

Language:

english

File:

PDF, 984 KB

english, 2019

19

Advanced Studies in Pure Mathematics [Mathematical Society of Japan Mathematical Society of Japan–Seasonal Institute — Nonlinear Dynamics in Partial Differential Equations - Kyushu University, Kyushu, Japan ()] Nonlinear Dynamics in Partial Differential Equations - Large time behavior of solutions to symmetric hyperbolic systems with non-symmetric relaxation

Ueda, Yoshihiro, Duan, Renjun, Kawashima, Shuichi

Year:

2015

Language:

english

File:

PDF, 459 KB

english, 2015

20

Global existence and convergence rates for the 3-D compressible Navier-Stokes equations without heat conductivity

Duan, Renjun, Ma, Hongfang

Journal:

Indiana University Mathematics Journal

Year:

2008

Language:

english

File:

PDF, 293 KB

english, 2008

21

The Vlasov-Poisson-Landau system near a local Maxwellian

Duan, Renjun, Yu, Hongjun

Journal:

Advances in Mathematics

Year:

2020

Language:

english

File:

PDF, 984 KB

english, 2020

22

Ion-acoustic shock in a collisional plasma

Duan, Renjun, Liu, Shuangqian, Zhang, Zhu

Journal:

Journal of Differential Equations

Year:

2020

File:

PDF, 1.54 MB

2020

23

Navier–Stokes equations with degenerate viscosity, vacuum and gravitational force

Renjun Duan, Tong Yang, Changjiang Zhu

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 212 KB

english, 2007

24

Optimal rates of decay to linear diffusion waves for nonlinear evolution equations with ellipticity and dissipation

Renjun Duan, Saipan Lin, Changjiang Zhu

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2007

Language:

english

File:

PDF, 178 KB

english, 2007

25

and BV-type stability of the Boltzmann equation with external forces

Renjun Duan, Tong Yang, Changjiang Zhu

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 203 KB

english, 2006

26

Optimal convergence rates for the compressible Navier–Stokes equations with potential force

Renjun Duan, Hongxia Liu, Seiji Ukai, Tong Yang

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 152 KB

english, 2007

27

Asymptotics of dissipative nonlinear evolution equations with ellipticity: different end states

Renjun Duan, Changjiang Zhu

Journal:

Journal of Mathematical Analysis and Applications

Year:

2005

Language:

english

File:

PDF, 177 KB

english, 2005

28

Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant

Renjun Duan, Shaoqiang Tang, Changjiang Zhu

Journal:

Journal of Mathematical Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 181 KB

english, 2006

29

Existence of stationary solutions to the Vlasov–Poisson–Boltzmann system

Renjun Duan, Tong Yang, Changjiang Zhu

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 126 KB

english, 2007

30

Energy method for multi-dimensional balance laws with non-local dissipation

Renjun Duan, Klemens Fellner, Changjiang Zhu

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2010

Language:

english

File:

PDF, 281 KB

english, 2010

31

Stability of the Boltzmann equation with potential forces on torus

Journal:

Physica D: Nonlinear Phenomena

Year:

2009

Language:

english

File:

PDF, 769 KB

english, 2009

32

Optimal Time Decay of the Vlasov–Poisson–Boltzmann System in({mathbb R^3})

Renjun Duan, Robert M. Strain

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 414 KB

english, 2011

33

A combination of energy method and spectral analysis for study of equations of gas motion

Renjun Duan, Seiji Ukai, Tong Yang

Journal:

Frontiers of Mathematics in China

Year:

2009

Language:

english

File:

PDF, 300 KB

english, 2009

34

The Cauchy Problem on the Compressible Two-fluids Euler–Maxwell Equations

Duan, Renjun, Liu, Qingqing, Zhu, Changjiang

Journal:

SIAM Journal on Mathematical Analysis

Year:

2012

Language:

english

File:

PDF, 338 KB

english, 2012

35

Hypocoercivity for the Linear Boltzmann Equation with Confining Forces

Duan, Renjun, Li, Wei-Xi

Journal:

Journal of Statistical Physics

Year:

2012

Language:

english

File:

PDF, 658 KB

english, 2012

36

The Vlasov-Poisson-Boltzmann System without Angular Cutoff

Duan, Renjun, Liu, Shuangqian

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 521 KB

english, 2013

37

Global smooth dynamics of a fully ionized plasma with long-range collisions

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2014

Language:

english

File:

PDF, 1.04 MB

english, 2014

38

Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations

Duan, Renjun, Yang, Xiongfeng

Journal:

Communications on Pure and Applied Analysis

Year:

2012

Language:

english

File:

PDF, 532 KB

english, 2012

39

THE VLASOV–POISSON–BOLTZMANN SYSTEM FOR SOFT POTENTIALS

DUAN, RENJUN, YANG, TONG, ZHAO, HUIJIANG

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2013

Language:

english

File:

PDF, 637 KB

english, 2013

40

[IEEE 2011 International Conference on Management Science and Industrial Engineering (MSIE) - Harbin, China (2011.01.8-2011.01.11)] MSIE 2011 - An analysis on competition game between oligopoly suppliers and vertical integration manufacturers

Yushan Chen,, Renjun Zhang,, Tao Duan,

Year:

2011

Language:

english

File:

PDF, 226 KB

english, 2011

41

A Note on Semiconcave Function

Duan, Renjun, Zhu, Changjiang

Journal:

Applicable Analysis

Year:

2003

Language:

english

File:

PDF, 115 KB

english, 2003

42

Global existence to Boltzmann equation with external force in infinite vacuum

Duan, Renjun, Yang, Tong, Zhu, Changjiang

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 368 KB

english, 2005

43

[IEEE IEEE Power Engineering Society General Meeting, 2005 - San Francisco, CA, USA (June 12-16, 2005)] IEEE Power Engineering Society General Meeting, 2005 - Simulating decision for power system planning based on multi-attribute fuzzy optimal selection

Renjun Zhou,, Hongming Yang,, Xianzhong Duan,, Jianbo Xin,

Year:

2005

Language:

english

File:

PDF, 437 KB

english, 2005

44

OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES

DUAN, RENJUN, UKAI, SEIJI, YANG, TONG, ZHAO, HUIJIANG

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2007

Language:

english

File:

PDF, 265 KB

english, 2007

45

L 1 STABILITY FOR THE VLASOV–POISSON–BOLTZMANN SYSTEM AROUND VACUUM

DUAN, RENJUN, ZHANG, MEI, ZHU, CHANGJIANG

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2006

Language:

english

File:

PDF, 260 KB

english, 2006

46

GLOBAL SMOOTH FLOWS FOR THE COMPRESSIBLE EULER–MAXWELL SYSTEM: THE RELAXATION CASE

Journal:

Journal of Hyperbolic Differential Equations

Year:

2011

Language:

english

File:

PDF, 394 KB

english, 2011

47

OPTIMAL DECAY RATES TO CONSERVATION LAWS WITH DIFFUSION-TYPE TERMS OF REGULARITY-GAIN AND REGULARITY-LOSS

DUAN, RENJUN, RUAN, LIZHI, ZHU, CHANGJIANG

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2012

Language:

english

File:

PDF, 432 KB

english, 2012

48

PROPAGATION OF SINGULARITIES IN THE SOLUTIONS TO THE BOLTZMANN EQUATION NEAR EQUILIBRIUM

DUAN, RENJUN, LI, MENG-RONG, YANG, TONG

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2008

Language:

english

File:

PDF, 283 KB

english, 2008

49

Stability of rarefaction waves of the Navier–Stokes–Poisson system

Duan, Renjun, Liu, Shuangqian

Journal:

Journal of Differential Equations

Year:

2015

Language:

english

File:

PDF, 481 KB

english, 2015

50

Hypocoercivity of linear degenerately dissipative kinetic equations

Journal:

Year:

2011

Language:

english

File:

PDF, 304 KB

english, 2011