Gui-Qiang George Chen - Selected Publications#

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

14. Isometric Immersions and Compensated Compactness.
Communications in Mathematical Physics, 294 (2010), 411–437 (co-authors: M. Slemrod and D. Wang).

15. Regularity of Solutions to Regular Shock Reflection for Potential Flow.
Inventiones Mathematicae, 175, 505–543 (2009) (co-authors: M. Bae and M. Feldman).

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).

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).

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).

19. Divergence Measure Fields and Hyperbolic Conservation Laws.
Archive for Rational Mechanics and Analysis, 147, 89–118 (1999) (co-author: H. Frid).

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).