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Professor Gui-Qiang G. Chen
PhD,MA,MSc,BSc
- Statutory Professor in the Analysis of Partial Differential Equations
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Professorial Fellow of Keble College
Personal Web Page
eMail:
Gui-Qiang [dot] Chen [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 615100
Direct: +44 1865 615128
Fax:
+44 1865 615101
Office:
RI.1.20
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
Gui-Qiang G. Chen's main research areas lie in nonlinear partial differential equations, nonlinear analysis, and their applications/connections to mechanics, geometry, other areas of mathematics and the other sciences. His recent research interests include nonlinear conservation laws, nonlinear waves, nonlinear equations of mixed type, free boundary problems, and geometric problems. His research interests also include measure-theoretical analysis, weak convergence methods, stochastic partial differential equations, statistical physics, and numerical analysis.
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Recent Publications (from MathSciNet):
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MR2921862 Indexed Chen, Gui-Qiang G.; Tzavaras, Athanasios E. Remarks on the contributions of Constantine M. Dafermos to the subject
of conservation laws.
Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 1, 3–14. 01A70 (35L65 70S10)
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MR2921861 Indexed Chen, Gui-Qiang G.; Hsiao, Ling; Huang, Feimin; Tzavaras, Athanasios; Wang, Zhen Preface [Special issue dedicated to the 70th birthday of Constantine M.
Dafermos].
Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 1, 1. 74-06 (01A70 35-06)
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MR2917120 Pending Chen, Gui-Qiang; Ding, Qian; Karlsen, Kenneth H. On nonlinear stochastic balance laws.
Arch. Ration. Mech. Anal. 204 (2012), no. 3, 707–743. 35R60 (35B30 35L60 60H15 76B03 76M35)
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MR2885620 Reviewed Chen, Gui-Qiang; Glimm, James Kolmogorov's theory of turbulence and inviscid limit of the
Navier-Stokes equations in $\Bbb R^3$\Bbb R^3.
Comm. Math. Phys. 310 (2012), no. 1, 267–283. (Reviewer: Koji Ohkitani) 35Q30 (76D05 76F02)
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MR2846335 Reviewed Chen, Gui-Qiang G.; Feldman, Mikhail Comparison principles for self-similar potential flow.
Proc. Amer. Math. Soc. 140 (2012), no. 2, 651–663. 35B51 (35Q35 76G25 76N15)
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MR2931491 Indexed Chen, Gui-Qiang G.; Dafermos, Constantine M.; Ding, Xiaqi; Liu, Tai-Ping Preface [Special issue dedicated to the 85th birthday of Peter D.
Lax].
Acta Math. Sci. Ser. B Engl. Ed. 31 (2011), no. 6, [November 2010 on cover], 2101. 01A70
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MR2884394 Pending Chen, Gui-Qiang G.; Feldman, Mikhail Shock reflection-diffraction and nonlinear partial differential
equations of mixed type.
Complex analysis and dynamical systems IV. Part 2,
55–72, Contemp. Math., 554, Amer. Math. Soc., Providence, RI, 2011. 35M30 (35L65 35L67 35R35 76H05 76L05 76N10)
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MR2856999 Reviewed Chen, Gui-Qiang G.; Slemrod, Marshall; Wang, Dehua Transonic flows and isometric embeddings.
Nonlinear conservation laws and applications,
257–266, IMA Vol. Math. Appl., 153, Springer, New York, 2011. 35L65 (35Q31 76H05)
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MR2856990 Reviewed Chen, Gui-Qiang G. Multidimensional conservation laws: overview, problems, and
perspective.
Nonlinear conservation laws and applications,
23–72, IMA Vol. Math. Appl., 153, Springer, New York, 2011. 35L65 (35-02 76L05 76N10)
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MR2849699 Reviewed Nonlinear conservation laws and applications.
Proceedings of the IMA Summer Program held in Minneapolis, MN, July
13–31, 2009.
Edited by Alberto Bressan, Gui-Qiang G. Chen, Marta Lewicka and Dehua
Wang.
The IMA Volumes in Mathematics and its Applications, 153. Springer, New York, 2011. xiv+490 pp. ISBN: 978-1-4419-9553-7 35-06 (35L65 35Q35 70H33 70S10 74-06 76-06)
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MR2787432 Reviewed Chen, Gui-Qiang; Torres, Monica On the structure of solutions of nonlinear hyperbolic systems of
conservation laws.
Commun. Pure Appl. Anal. 10 (2011), no. 4, 1011–1036. (Reviewer: Marta Lewicka) 35L65 (28C05 76L05 76N10)
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MR2731988 Reviewed Chen, Gui-Qiang G. On degenerate partial differential equations.
Nonlinear partial differential equations and hyperbolic wave
phenomena,
53–90, Contemp. Math., 526, Amer. Math. Soc., Providence, RI, 2010. 35-02 (35K65 35L65)
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MR2648084 Reviewed Chen, Gui-Qiang; Qian, Zhongmin A study of the Navier-Stokes equations with the kinematic and Navier
boundary conditions.
Indiana Univ. Math. J. 59 (2010), no. 2, 721–760. (Reviewer: Horst Heck) 35Q30 (76D03 76D05)
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MR2683391 Reviewed Chen, Gui-Qiang; Perepelitsa, Mikhail Vanishing viscosity limit of the Navier-Stokes equations to the Euler
equations for compressible fluid flow.
Comm. Pure Appl. Math. 63 (2010), no. 11, 1469–1504. (Reviewer: Makram Hamouda) 35Q35 (35B25 35L65 76N10)
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MR2674818 Indexed Chen, Gui-Qiang G.; Perthame, Benoît What is $\dots$\dots a kinetic solution for degenerate parabolic-hyperbolic
equations?
Notices Amer. Math. Soc. 57 (2010), no. 6, 737–739. 35M10 (35Q82)
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MR2656548 Reviewed Chen, Gui-Qiang G.; Ruan, Weihua A hyperbolic system of conservation laws for fluid flows through
compliant axisymmetric vessels.
Acta Math. Sci. Ser. B Engl. Ed. 30 (2010), no. 2, 391–427. 35L65 (35Q74 74F10 76Z05 92C35)
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MR2656545 Indexed Chen, Gui-Qiang G.; Li, Xiaolin; Sharp, David H. Preface [Special issue dedicated to Professor James Glimm on the
occasion of his seventy-fifth birthday].
Acta Math. Sci. Ser. B Engl. Ed. 30 (2010), no. 2, i–ii. 01A70
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MR2630061 Reviewed Chen, Gui-Qiang; Feldman, Mikhail Global solutions of shock reflection by large-angle wedges for
potential flow.
Ann. of Math. (2) 171 (2010), no. 2, 1067–1182. (Reviewer: Marta Lewicka) 35L67 (35Q05 76L05 76N10)
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MR2598881 Reviewed Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua A fluid dynamic formulation of the isometric embedding problem in
differential geometry.
Quart. Appl. Math. 68 (2010), no. 1, 73–80. (Reviewer: Peter J. Vassiliou) 35L65 (53C42 76N10)
More publications
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