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1

The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity

Fan, Yingzhe, Lei, Yuanjie, Liu, Shuangqian, Zhao, Huijiang

Journal:

Science China Mathematics

Year:

2018

Language:

english

File:

PDF, 391 KB

english, 2018

2

Global existence and asymptotics of solutions of the Cahn–Hilliard equation

Shuangqian Liu, Fei Wang, Huijiang Zhao

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 333 KB

english, 2007

3

FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES WITH SINGULAR INITIAL DATA Lp ( p < ∞)

Journal:

Acta Mathematica Scientia

Year:

1996

Language:

english

File:

PDF, 1015 KB

english, 1996

4

Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption

Kenji Nishihara, Huijiang Zhao

Journal:

Journal of Mathematical Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 125 KB

english, 2006

5

Global existence and large-time behavior of solutions to the Cauchy problem of one-dimensional viscous radiative and reactive gas

Liao, Yongkai, Zhao, Huijiang

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 1.86 MB

english, 2018

6

Asymptotic Behaviors of Solutions of Quasilinear Hyperbolic Equations with Linear Damping II

Journal:

Journal of Differential Equations

Year:

2000

Language:

english

File:

PDF, 226 KB

english, 2000

7

A Vacuum Problem for the One-Dimensional Compressible Navier–Stokes Equations with Density-Dependent Viscosity

Tong Yang, Huijiang Zhao

Journal:

Journal of Differential Equations

Year:

2002

Language:

english

File:

PDF, 180 KB

english, 2002

8

Global stability of strong rarefaction waves for the generalized KdV–Burgers equation

Ran Duan, Huijiang Zhao

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2007

Language:

english

File:

PDF, 277 KB

english, 2007

9

Global Existence of Classical Solutions to the Vlasov-Poisson-Boltzmann System

Tong Yang, Huijiang Zhao

Journal:

Communications in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 355 KB

english, 2006

10

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

11

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

12

Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

Nishihara, Kenji, Yang, Tong, Zhao, Huijiang

Journal:

SIAM Journal on Mathematical Analysis

Year:

2004

Language:

english

File:

PDF, 348 KB

english, 2004

13

Existence and nonlinear stability of stationary solutions to the full compressible Navier–Stokes–Korteweg system

Chen, Zhengzheng, Zhao, Huijiang

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2014

Language:

english

File:

PDF, 1.73 MB

english, 2014

14

Negative Sobolev spaces and the two-species Vlasov–Maxwell–Landau system in the whole space

Lei, Yuanjie, Zhao, Huijiang

Journal:

Journal of Functional Analysis

Year:

2014

Language:

english

File:

PDF, 687 KB

english, 2014

15

Global Solutions to the One-Dimensional Compressible Navier--Stokes--Poisson Equations with Large Data

Tan, Zhong, Yang, Tong, Zhao, Huijiang, Zou, Qingyang

Journal:

SIAM Journal on Mathematical Analysis

Year:

2013

Language:

english

File:

PDF, 289 KB

english, 2013

16

One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data

Liu, Hongxia, Yang, Tong, Zhao, Huijiang, Zou, Qingyang

Journal:

SIAM Journal on Mathematical Analysis

Year:

2014

Language:

english

File:

PDF, 495 KB

english, 2014

17

Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms

Yang, Tong, Zhu, Changjiang, Zhao, Huijiang

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

1997

Language:

english

File:

PDF, 474 KB

english, 1997

18

L2-stability of the Vlasov-Maxwell-Boltzmann system near global Maxwellians

Ha, Seung-Yeal, Xiao, Qinghua, Xiong, Linjie, Zhao, Huijiang

Journal:

Journal of Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 219 KB

english, 2013

19

The Vlasov–Maxwell–Boltzmann system with a uniform ionic background near Maxwellians

Lei, Yuanjie, Zhao, Huijiang

Journal:

Journal of Differential Equations

Year:

2016

Language:

english

File:

PDF, 719 KB

english, 2016

20

One-dimensional compressible heat-conducting gas with temperature-dependent viscosity

Wang, Tao, Zhao, Huijiang

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2016

Language:

english

File:

PDF, 442 KB

english, 2016

21

Asymptotic behaviour of global smooth solutionsto the multidimensional hydrodynamic model for semiconductors

Ling Hsiao, Shu Wang, Huijiang Zhao

Journal:

Mathematical Methods in the Applied Sciences

Year:

2002

Language:

english

File:

PDF, 271 KB

english, 2002

22

Weakly Nonlinear Limit for the Relaxation Approximation of Conservation Laws in Several Space Dimensions

Journal:

Journal of Differential Equations

Year:

1999

Language:

english

File:

PDF, 324 KB

english, 1999

23

Nonlinear Stability of Strong Planar Rarefaction Waves for the Relaxation Approximation of Conservation Laws in Several Space Dimensions

Journal:

Journal of Differential Equations

Year:

2000

Language:

english

File:

PDF, 176 KB

english, 2000

24

Asymptotic Behavior of Solutions to a Hyperbolic System with Relaxation and Boundary Effect

Tong Yang, Huijiang Zhao, Changjiang Zhu

Journal:

Journal of Differential Equations

Year:

2000

Language:

english

File:

PDF, 193 KB

english, 2000

25

Convergence to Strong Nonlinear Diffusion Waves for Solutions of p-System with Damping

Journal:

Journal of Differential Equations

Year:

2001

Language:

english

File:

PDF, 211 KB

english, 2001

26

Global Existence and Optimal Temporal Decay Estimates for Systems of Parabolic Conservation Laws. II. The Multidimensional Case

Alan Jeffrey, Huijiang Zhao

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 248 KB

english, 1998

27

Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws

Tong Yang, Changjiang Zhu, Huijiang Zhao

Journal:

Journal of Mathematical Analysis and Applications

Year:

1998

Language:

english

File:

PDF, 227 KB

english, 1998

28

Nonlinear Stability for Dissipative Nonlinear Evolution Equations with Ellipticity

Shaoqiang Tang, Huijiang Zhao

Journal:

Journal of Mathematical Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 160 KB

english, 1999

29

Nonlinear Stability and Optimal Decay Rate for a Multidimensional Generalized Kuramoto–Sivashinsky System

Huijiang Zhao, Shaoqiang Tang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2000

Language:

english

File:

PDF, 152 KB

english, 2000

30

Viscous solutions of quadratic conservation laws with umbilic points

Lu Yunguang, Zhu Changjiang, Zhao Huijiang

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1993

Language:

english

File:

PDF, 721 KB

english, 1993

31

Existence and convergence of solutions to a singularly perturbed higher order partially differential equation

Huijiang Zhao, Changjiang Zhu, Zhong Yu

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1995

Language:

english

File:

PDF, 842 KB

english, 1995

32

Existence and nonexistence of time-global solutions to damped wave equation on half-line

Kenji Nishihara, Huijiang Zhao

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 334 KB

english, 2005

33

Convergence rate of solutions toward traveling waves for the Cauchy problem of generalized Korteweg–de Vries–Burgers equations

Hui Yin, Huijiang Zhao, Lina Zhou

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 629 KB

english, 2009

34

Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption

Ryo Ikehata, Kenji Nishihara, Huijiang Zhao

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 234 KB

english, 2006

35

A case study of global stability of strong rarefaction waves for hyperbolic conservation laws with artificial viscosity

Ran Duan, Xuan Ma, Huijiang Zhao

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 226 KB

english, 2006

36

Convergence rates of solutions toward boundary layer solutions for generalized Benjamin–Bona–Mahony–Burgers equations in the half-space

Hui Yin, Huijiang Zhao, Jongsung Kim

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 506 KB

english, 2008

37

Diffusive expansion for solutions of the Boltzmann equation in the whole space

Shuangqian Liu, Huijiang Zhao

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 496 KB

english, 2011

38

Well-posedness of the global entropy solution to the Cauchy problem of a hyperbolic conservation laws with relaxation

Changjiang Zhu, Huijiang Zhao

Journal:

Journal of Mathematical Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 249 KB

english, 2004

39

Asymptotics of solutions of nonlinear parabolic equations

Journal:

Journal of Differential Equations

Year:

2003

Language:

english

File:

PDF, 387 KB

english, 2003

40

Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term

Huijiang Zhao, Benjin Xuan

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 645 KB

english, 1997

41

A note on the Cauchy problem to a class of nonlinear dispersive equations with singular initial data

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2000

Language:

english

File:

PDF, 143 KB

english, 2000

42

The far field operator for a multilayered scatterer

Guozheng Yan, Huijiang Zhao

Journal:

Computers & Mathematics with Applications

Year:

2002

Language:

english

File:

PDF, 485 KB

english, 2002

43

Cauchy Problem for the Vlasov–Poisson–Boltzmann System

Tong Yang, Hongjun Yu, Huijiang Zhao

Journal:

Archive for Rational Mechanics and Analysis

Year:

2006

Language:

english

File:

PDF, 496 KB

english, 2006

44

Droplet-based synthetic method using microflow focusing and droplet fusion

Kan Liu, Huijiang Ding, Yong Chen, Xing-Zhong Zhao

Journal:

Microfluidics and Nanofluidics

Year:

2007

Language:

english

File:

PDF, 264 KB

english, 2007

45

Convergence Rate to Stationary Solutions for Boltzmann Equation with External Force*

Seiji Ukai, Tong Yang, Huijiang Zhao

Journal:

Chinese Annals of Mathematics, Series B

Year:

2006

Language:

english

File:

PDF, 236 KB

english, 2006

46

A note on the optimal temporal decay estimates of solutions to the Cahn–Hilliard equation

Lian Duan, Shuangqian Liu, Huijiang Zhao

Journal:

Journal of Mathematical Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 213 KB

english, 2010

47

Global solutions to a hyperbolic-parabolic coupled system with large initial data

Guo Jun, Xiao Jixiong, Zhao Huijiang, Zhu Changjiang

Journal:

Acta Mathematica Scientia

Year:

2009

Language:

english

File:

PDF, 237 KB

english, 2009

48

The Jin–Xin relaxation approximation of scalar conservation laws in several dimensions with large initial perturbation

Qingyang Zou, Huijiang Zhao, Tao Wang

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 372 KB

english, 2012

49

Generation of disk-like hydrogel beads for cell encapsulation and manipulation using a droplet-based microfluidic device

Kan Liu, Yuliang Deng, Nangang Zhang, Sizhe Li, Huijiang Ding, Feng Guo, Wei Liu, Shishang Guo, Xing-Zhong Zhao

Journal:

Microfluidics and Nanofluidics

Year:

2012

Language:

english

File:

PDF, 490 KB

english, 2012

50

Nonlinear stability of generalized Benjamin–Bona–Mahony–Burgers shock profiles in several dimensions

Xiao, Qinghua, Zhao, Huijiang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 452 KB

english, 2013