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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, the 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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MR2846335 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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MR2856999 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 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 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 (2012c:35263) 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 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 (2011m:35264) 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 (2012a:35235) 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 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 (2011c:35327) 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 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 (2011g:35248) 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 (2011e:35214) 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)
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MR2579461 (2011h:53070) Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua Isometric immersions and compensated compactness.
Comm. Math. Phys. 294 (2010), no. 2, 411–437. (Reviewer: Federico Sánchez-Bringas), 53C42 (35L60)
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MR2587469 (2011b:53137) Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua Weak continuity of the Gauss-Codazzi-Ricci system for isometric
embedding.
Proc. Amer. Math. Soc. 138 (2010), no. 5, 1843–1852. (Reviewer: Harish Seshadri), 53C42 (35L65 53C21)
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MR2605221 (2011j:35139) Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua Conservation laws: transonic flow and differential geometry.
Hyperbolic problems: theory, numerics and applications,
217–226, Proc. Sympos. Appl. Math., 67, Part 1, Amer. Math. Soc., Providence, RI, 2009, 35L65 (76H05)
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MR2605211 (2011i:35155) Chen, Gui-Qiang; Feldman, Mikhail Shock reflection-diffraction phenomena and multidimensional
conservation laws.
Hyperbolic problems: theory, numerics and applications,
25–51, Proc. Sympos. Appl. Math., 67, Part 1, Amer. Math. Soc., Providence, RI, 2009. (Reviewer: Maria Elena Schonbek), 35L67 (35L65 35Q31 35R35)
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MR2574251 (2010g:35004) Nonlinear conservation laws, fluid systems and related topics.
Edited by Gui-Qiang Chen, Ta-Tsien Li and Chun Liu.
Series in Contemporary Applied Mathematics CAM, 13. World Scientific Publishing Co., Singapore; Higher Education Press,
Beijing, 2009. viii+390 pp. ISBN: 978-981-4273-27-5; 981-4273-27-9; 978-7-04-024944-6, 35-06 (35L65 35Q30 76-06)
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MR2523692 (2010f:35265) Chen, Gui-Qiang; Yuan, Hairong Uniqueness of transonic shock solutions in a duct for steady potential
flow.
J. Differential Equations 247 (2009), no. 2, 564–573. (Reviewer: Eun Heui Kim), 35M12 (35R25 76H05 76N10)
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