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1

Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws

Gui-Qiang Chen, William P. Ziemer, Monica Torres

Journal:

Communications on Pure and Applied Mathematics

Année:

2009

Langue:

english

Fichier:

PDF, 426 KB

english, 2009

2

Kolmogorov’s Theory of Turbulence and Inviscid Limit of the Navier-Stokes Equations in({mathbb {R}^3})

Gui-Qiang Chen, James Glimm

Journal:

Communications in Mathematical Physics

Année:

2012

Langue:

english

Fichier:

PDF, 249 KB

english, 2012

3

Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow

Gui-Qiang G. Chen, Mikhail Perepelitsa

Journal:

Communications on Pure and Applied Mathematics

Année:

2010

Langue:

english

Fichier:

PDF, 278 KB

english, 2010

4

Hyperbolic conservation laws with stiff relaxation terms and entropy

Gui-Qiang Chen, C. David Levermore, Tai-Ping Liu

Journal:

Communications on Pure and Applied Mathematics

Année:

1994

Langue:

english

Fichier:

PDF, 1.40 MB

english, 1994

5

Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics

Ding Xiaxi, Chen Gui-Qiang, Luo Peizhu

Journal:

Communications in Mathematical Physics

Année:

1989

Langue:

english

Fichier:

PDF, 985 KB

english, 1989

6

10.1090/S0894-0347-03-00422-3

Chen, Gui-Qiang, Feldman, Mikhail

Journal:

Journal of the American Mathematical Society

Année:

2003

Langue:

english

Fichier:

PDF, 722 KB

english, 2003

7

A study of the Navier-Stokes equations with the kinematic and Navier boundary conditions

Chen, Gui-Qiang, Qian, Zhongmin

Journal:

Indiana University Mathematics Journal

Année:

2010

Langue:

english

Fichier:

PDF, 435 KB

english, 2010

8

Divergence‐Measure Fields and Hyperbolic Conservation Laws

Gui-Qiang Chen, Hermano Frid

Journal:

Archive for Rational Mechanics and Analysis

Année:

1999

Langue:

english

Fichier:

PDF, 214 KB

english, 1999

9

Multidimensional Transonic Shocks and Free Boundary Problems for Nonlinear Equations of Mixed Type

Gui-Qiang Chen and Mikhail Feldman

Journal:

Journal of the American Mathematical Society

Année:

2003

Langue:

english

Fichier:

PDF, 2.86 MB

english, 2003

10

On the 2-D Riemann problem for the compressible Euler equations I. Interaction of shocks and rarefaction waves

Yang, Shuli, Chen, Gui-Qiang, Chang, Tung

Journal:

Discrete and Continuous Dynamical Systems

Année:

1995

Langue:

english

Fichier:

PDF, 37 KB

english, 1995

11

CENTERED DIFFERENCE SCHEMES FOR NONLINEAR HYPERBOLIC EQUATIONS

CHEN, GUI-QIANG, TORO, ELEUTERIO F.

Journal:

Journal of Hyperbolic Differential Equations

Année:

2004

Langue:

english

Fichier:

PDF, 388 KB

english, 2004

12

Improved Broadband Near-Unity Light Transparency of a Metal Layer With Film-Coupled Dual Plasmonic Arrays

Liu, Gui-qiang, Liu, Zheng-qi, Hu, Ying, Zhang, Xiang-nan, Cai, Zheng-jie, Chen, Yuan-hao, Zhou, Hai-Qing

Journal:

IEEE Photonics Journal

Année:

2013

Langue:

english

Fichier:

PDF, 1.02 MB

english, 2013

13

Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding

Chen, Gui-Qiang, Slemrod, Marshall, Wang, Dehua

Journal:

Proceedings of the American Mathematical Society

Année:

2009

Langue:

english

Fichier:

PDF, 200 KB

english, 2009

14

Stability of transonic shocks in steady supersonic flow past multidimensional wedges

Chen, Gui-Qiang, Fang, Beixiang

Journal:

Advances in Mathematics

Année:

2017

Langue:

english

Fichier:

PDF, 1.26 MB

english, 2017

15

Global Weak Rigidity of the Gauss–Codazzi–Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity

Chen, Gui-Qiang G., Li, Siran

Journal:

Journal of Geometric Analysis

Année:

2017

Langue:

english

Fichier:

PDF, 894 KB

english, 2017

16

Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles

Chen, Gui-Qiang G., Huang, Fei-Min, Wang, Tian-Yi, Xiang, Wei

Journal:

Advances in Mathematics

Année:

2019

Langue:

english

Fichier:

PDF, 913 KB

english, 2019

17

Global Solutions of Nonlinear Magnetohydrodynamics with Large Initial Data

Gui-Qiang Chen, Dehua Wang

Journal:

Journal of Differential Equations

Année:

2002

Langue:

english

Fichier:

PDF, 258 KB

english, 2002

18

Divergence-Measure Fields, Sets of Finite Perimeter, and Conservation Laws

Gui-Qiang Chen, Monica Torres

Journal:

Archive for Rational Mechanics and Analysis

Année:

2005

Langue:

english

Fichier:

PDF, 202 KB

english, 2005

19

Vanishing Viscosity Method for Transonic Flow

Gui-Qiang Chen, Marshall Slemrod, Dehua Wang

Journal:

Archive for Rational Mechanics and Analysis

Année:

2008

Langue:

english

Fichier:

PDF, 495 KB

english, 2008

20

Extended Divergence-Measure Fields and the Euler Equations for Gas Dynamics

Gui-Qiang Chen, Hermano Frid

Journal:

Communications in Mathematical Physics

Année:

2003

Langue:

english

Fichier:

PDF, 295 KB

english, 2003

21

Isometric Immersions and Compensated Compactness

Gui-Qiang Chen, Marshall Slemrod, Dehua Wang

Journal:

Communications in Mathematical Physics

Année:

2010

Langue:

english

Fichier:

PDF, 424 KB

english, 2010

22

Regularity of solutions to regular shock reflection for potential flow

Myoungjean Bae, Gui-Qiang Chen, Mikhail Feldman

Journal:

Inventiones mathematicae

Année:

2009

Langue:

english

Fichier:

PDF, 479 KB

english, 2009

23

Global Solutions to the Compressible Navier–Stokes Equations for a Reacting Mixture

Chen, Gui-Qiang

Journal:

SIAM Journal on Mathematical Analysis

Année:

1992

Langue:

english

Fichier:

PDF, 1.74 MB

english, 1992

24

Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids

Chen, Gui-Qiang, Liu, Hailiang

Journal:

SIAM Journal on Mathematical Analysis

Année:

2003

Langue:

english

Fichier:

PDF, 171 KB

english, 2003

25

Stability of Nonlinear Feedback Systems: A New Small-Gain Theorem

Chen, Anna L., Chen, Gui-Qiang, Freeman, Randy A.

Journal:

SIAM Journal on Control and Optimization

Année:

2007

Langue:

english

Fichier:

PDF, 233 KB

english, 2007

26

Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws

Chen, Gui-Qiang, Xiang, Wei, Zhang, Yongqian

Journal:

Communications in Partial Differential Equations

Année:

2013

Langue:

english

Fichier:

PDF, 370 KB

english, 2013

27

Advances in Nonlinear Partial Differential Equations and Related Areas (A Volume in Honor of Professor Xiaqi Ding) || Generalized Rankine-Hugoniot Relations of Delta-shocks in Solutions of Transportation Equations

Chen, Gui-Qiang, Li, Yanyan, Zhu, Xiping, Chao, Daomin

Année:

1998

Langue:

english

Fichier:

PDF, 471 KB

english, 1998

28

Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations

Chen, Gui-Qiang, Perthame, Benoît

Journal:

Proceedings of the American Mathematical Society

Année:

2009

Langue:

english

Fichier:

PDF, 197 KB

english, 2009

29

[Handbook of Differential Equations: Evolutionary Equations] Volume 2 || Chapter 1 Euler Equations and Related Hyperbolic Conservation Laws

Chen, Gui-Qiang

Année:

2006

Langue:

english

Fichier:

PDF, 4.75 MB

english, 2006

30

Perfect superbroadband optical transparency from visible to near-infrared in a thin metallic film perforated with a cubic hole periodic array

Cai, Zheng-jie, Liu, Gui-qiang, Liu, Zheng-qi, Liu, Xiao-shan, Zhang, Xiang-nan, Hu, Ying, Chen, Yuan-hao

Journal:

Optical Engineering

Année:

2014

Langue:

english

Fichier:

PDF, 5.83 MB

english, 2014

31

[Springer Proceedings in Mathematics & Statistics] Differential Geometry and Continuum Mechanics Volume 137 || Manifolds in a Theory of Microstructures

Chen, Gui-Qiang G., Grinfeld, Michael, Knops, R. J.

Année:

2015

Langue:

english

Fichier:

PDF, 325 KB

english, 2015

32

[Springer Proceedings in Mathematics & Statistics] Differential Geometry and Continuum Mechanics Volume 137 || Static Elasticity in a Riemannian Manifold

Chen, Gui-Qiang G., Grinfeld, Michael, Knops, R. J.

Année:

2015

Langue:

english

Fichier:

PDF, 374 KB

english, 2015

33

Advances in Nonlinear Partial Differential Equations and Related Areas (A Volume in Honor of Professor Xiaqi Ding) || ELLIPTIC PROBLEM WITH SUPERCRITICAL NONLINEARITY

Chen, Gui-Qiang, Li, Yanyan, Zhu, Xiping, Chao, Daomin

Année:

1998

Langue:

english

Fichier:

PDF, 256 KB

english, 1998

34

Solutions for a Nonlocal Conservation Law with Fading Memory

Gui-Qiang Chen and Cleopatra Christoforou

Journal:

Proceedings of the American Mathematical Society

Année:

2007

Langue:

english

Fichier:

PDF, 863 KB

english, 2007

35

Uniqueness and Asymptotic Stability of Riemann Solutions for the Compressible Euler Equations

Gui-Qiang Chen and Hermano Frid

Journal:

Transactions of the American Mathematical Society

Année:

2001

Langue:

english

Fichier:

PDF, 1.60 MB

english, 2001

36

[Springer Proceedings in Mathematics & Statistics] Differential Geometry and Continuum Mechanics Volume 137 ||

Chen, Gui-Qiang G., Grinfeld, Michael, Knops, R. J.

Année:

2015

Langue:

english

Fichier:

PDF, 5.00 MB

english, 2015

37

The Vanishing Viscosity Method in One-Dimensional Thermoelasticity

Gui-Qiang Chen and Constantine M. Dafermos

Journal:

Transactions of the American Mathematical Society

Année:

1995

Langue:

english

Fichier:

PDF, 1.04 MB

english, 1995

38

Remarks on Diperna's Paper "Convergence of the Viscosity Method for Isentropic Gas Dynamics"

Journal:

Proceedings of the American Mathematical Society

Année:

1997

Langue:

english

Fichier:

PDF, 189 KB

english, 1997

39

Remarks on spherically symmetric solutions of the compressible Euler equations

Chen, Gui-Qiang

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Année:

1997

Langue:

english

Fichier:

PDF, 633 KB

english, 1997

40

Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations

Chen, Gui-Qiang, Huang, Fei-Min, Wang, Tian-Yi

Journal:

Archive for Rational Mechanics and Analysis

Année:

2016

Langue:

english

Fichier:

PDF, 547 KB

english, 2016

41

L1-Framework for Continuous Dependence and Error Estimates for Quasilinear Anisotropic Degenerate Parabolic Equations

Gui-Qiang Chen and Kenneth H. Karlsen

Journal:

Transactions of the American Mathematical Society

Année:

2006

Langue:

english

Fichier:

PDF, 1.56 MB

english, 2006

42

Advances in Nonlinear Partial Differential Equations and Related Areas (A Volume in Honor of Professor Xiaqi Ding) || FORMATION OF SHOCK IN POTENTIAL FLOW

Chen, Gui-Qiang, Li, Yanyan, Zhu, Xiping, Chao, Daomin

Année:

1998

Langue:

english

Fichier:

PDF, 703 KB

english, 1998

43

10.1090/S0002-9947-00-02660-X

Chen, Gui-Qiang, Frid, Hermano

Journal:

Transactions of the American Mathematical Society

Année:

2001

Langue:

english

Fichier:

PDF, 269 KB

english, 2001

44

Vanishing Viscosity Approach to the Compressible Euler Equations for Transonic Nozzle and Spherically Symmetric Flows

Chen, Gui-Qiang G., Schrecker, Matthew R. I.

Journal:

Archive for Rational Mechanics and Analysis

Année:

2018

Langue:

english

Fichier:

PDF, 661 KB

english, 2018

45

Gilbert syndrome combined with prolonged jaundice caused by contrast agent: Case report

Qian, Jian-Dan, Hou, Feng-Qin, Wang, Tai-Ling, Shao, Chen, Wang, Gui-Qiang

Journal:

World Journal of Gastroenterology

Année:

2018

Langue:

english

Fichier:

PDF, 1.01 MB

english, 2018

46

$L^1$--framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations

Chen, Gui-Qiang, Karlsen, Kenneth H.

Journal:

Transactions of the American Mathematical Society

Année:

2004

Langue:

english

Fichier:

PDF, 346 KB

english, 2004

47

Stability of Multidimensional Thermoelastic Contact Discontinuities

Chen, Gui-Qiang G., Secchi, Paolo, Wang, Tao

Journal:

Archive for Rational Mechanics and Analysis

Année:

2020

Fichier:

PDF, 738 KB

2020

48

Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow

Chen, Gui-Qiang G., Feldman, Mikhail, Xiang, Wei

Journal:

Archive for Rational Mechanics and Analysis

Année:

2020

Fichier:

PDF, 1.50 MB

2020

49

Blood physiological and flow characteristics within coronary artery circulatory network for human heart based on vascular fractal theory

Chen, Yan-li, Bai, Gui-Qiang, Ren, Liu-xing, Bai, Yang, Sun, Meng-yao, Shang, Tao, Ma, Chun-ye, Ma, Da-shi

Journal:

Advances in Mechanical Engineering

Année:

2020

Fichier:

PDF, 2.52 MB

2020

50

Multi-autonomous underwater vehicle formation control and cluster search using a fusion control strategy at complex underwater environment

Chen, Yan-Li, Ma, Xi-Wen, Bai, Gui-Qiang, Sha, Yongbai, Liu, Jun

Journal:

Ocean Engineering

Année:

2020

Fichier:

PDF, 7.03 MB

2020