!!Gui-Qiang George Chen - Selected Publications
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1.    Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems.   \\
Research Monograph (Original Research),  224 pages,  Memoirs of the American Mathematical Society (to appear);\\
arXiv:1901.05916 [[math.AP]] (2021)  (co-authors:  M. Bae and M. Feldman).    \\
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2.    Multidimensional Transonic Shock Waves and Free Boundary Problems. \\
Bulletin of Mathematical Sciences, 12 (2022), no. 1, Paper No. 2230002, 85 pp. (co-author:  M. Feldman).\\
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3.    Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density. \\
Archive for Rational Mechanics and Analysis, 243 (2022), 1699–1771 (co-author:  Y. Wang). \\
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4.    Nonlinear Anisotropic Degenerate Parabolic-Hyperbolic Equations with Stochastic Forcing. \\
Journal of Functional Analysis, 281 (2021), no. 12, Paper No. 109222, 48 pp. (co-author:  P. H. Pang). \\
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5.    Divergence-Measure Fields: Gauss-Green Formulas and Normal Traces. \\
Notices of the American Mathematical Society, 68 (2021), no. 8, 1282–1290 (co-author:  M. Torres).\\
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6.    Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow. \\
Archive for Rational Mechanics and Analysis, 238 (2020), 47–124 (co-authors:  M. Feldman and W. Xiang).\\
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7.    Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime. \\
Archive for Rational Mechanics and Analysis, 232 (2019), 591–695 (co-authors:  P. Secchi and T. Wang). \\
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8.    The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures.    \\ Research Monograph (Original Research), 830 pages,  \\
Annals of Mathematics Studies, 197, Princeton University Press,  2018  (co-author:  M. Feldman).   \\
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9.    Vanishing Viscosity Solutions of the Compressible Euler Equations with Spherical Symmetry and Large Initial Data.\\
Communications in Mathematical Physics, 338, 771–800 (2015) (co-author:  M. Perepelitsa).  \\
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10.   Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws. \\
In: Nonlinear Partial Differential Equations, 53–81, The Abel Symposium, 7, Springer: Heidelberg, 2012 (co-author: Y.-G. Wang). \\
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11.   Global Solutions to Shock Reflection by Large-Angle Wedges for Potential Flow.   \\
Annals of Mathematics, (2) 171,  1067–1182 (2010) (co-author:  M. Feldman).  \\
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12.   Vanishing Viscosity Limit of the Navier‐Stokes Equations to the Euler Equations for Compressible Fluid Flow.   \\
Communications on Pure and Applied Mathematics, 63 (11), 1469–1504 (2010) (co-author:  M. Perepelitsa).  \\
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13.   What Is … A Kinetic Solution for Degenerate Parabolic-Hyperbolic Equations? \\
Notices of the American Mathematical Society,  57 (2010), no. 6, 737–739 (co-author:  B. Perthame).\\
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14.   Isometric Immersions and Compensated Compactness. \\
Communications in Mathematical Physics, 294 (2010), 411–437 (co-authors:  M. Slemrod and D. Wang).\\
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15.   Regularity of Solutions to Regular Shock Reflection for  Potential Flow.   \\
Inventiones  Mathematicae, 175,   505–543 (2009) (co-authors:  M. Bae and M. Feldman).  \\
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16.   Gauss-Green Theorem for Weakly Differentiable Vector Fields, Sets of Finite Perimeter, and Balance Laws. \\
Communications on Pure and Applied Mathematics, 62 (2009), 242–304 (co-authors:  M. Torres and W. Ziemer). \\
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17.   Well-Posedness for Anisotropic Degenerate Parabolic-Hyperbolic Equations.     \\
Annales de l'Institut Henri Poincare: Analyse Non Lineaire,   20, 645–668 (2003) (co-author:  B. Perthame).  \\
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18.   Multidimensional Transonic Shocks and Free Boundary Problems for Nonlinear Equations of Mixed Type.   \\
Journal of the American Mathematical Society, 16, 461–494 (2003) (co-author:  M. Feldman).    \\
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19.   Divergence Measure Fields and Hyperbolic Conservation Laws.   \\
Archive for Rational Mechanics and Analysis, 147, 89–118 (1999) (co-author:  H. Frid).   \\
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20.   Hyperbolic Conservation Laws with Stiff Relaxation Terms and Entropy.  \\
Communications on Pure and Applied Mathematics,  47, 787–830 (1994)  (co-authors:  D. Levermore and T.-P. Liu).