Shock Diffraction/Reflection and Related Problems in Multi-Dimensional Conservation Laws

Project: Research

Research Output

  1. 2021
  2. Published

    Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations

    Fan, L., Ruan, L. & Xiang, W., Apr 2021, In: Discrete and Continuous Dynamical Systems. Series A. 41, 4, p. 1971–1999

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 3
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  3. 2020
  4. Published

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

    CHEN, G. G., FELDMAN, M. & XIANG, W., Oct 2020, In: Archive for Rational Mechanics and Analysis. 238, 1, p. 47–124

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 13
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  5. Published

    Steady incompressible axially symmetric Réthy flows

    Cheng, J., Du, L. & Xiang, W., Sept 2020, In: Nonlinearity. 33, 9, p. 4627-4669

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 8
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  6. Published

    Low Mach number limit of multidimensional steady flows on the airfoil problem

    Li, M., Wang, T. & Xiang, W., Apr 2020, In: Calculus of Variations and Partial Differential Equations. 59, 2, 21 p., 68.

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 2
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  7. Published

    LOSS OF REGULARITY OF SOLUTIONS OF THE LIGHTHILL PROBLEM FOR SHOCK DIFFRACTION FOR POTENTIAL FLOW

    CHEN, G., FELDMAN, M., HU, J. & XIANG, W., 2020, In: SIAM Journal on Mathematical Analysis. 52, 2, p. 1096-1114

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 6
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  8. 2019
  9. Published

    Incompressible Jet Flows in a de Laval Nozzle with Smooth Detachment

    CHENG, J., DU, L. & XIANG, W., 2 May 2019, In: Archive for Rational Mechanics and Analysis. 232, 2, p. 1031-1072

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 16
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  10. Published

    Compressible subsonic jet flows issuing from a nozzle of arbitrary cross-section

    Cheng, J., Du, L. & Xiang, W., 15 Apr 2019, In: Journal of Differential Equations. 266, 9, p. 5318-5359

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 13
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  11. Published

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

    Chen, G. G., Huang, F., Wang, T. & Xiang, W., 13 Apr 2019, In: Advances in Mathematics. 346, p. 946-1008 63 p.

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 30
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  12. Published

    Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle

    Huang, F., Kuang, J., Wang, D. & Xiang, W., 15 Mar 2019, In: Journal of Differential Equations. 266, 7, p. 4337-4376

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 14
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  13. Published

    Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations

    Fan, L., Ruan, L. & Xiang, W., Jan 2019, In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 36, 1, p. 1-25

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 16
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  14. Published

    ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR THE INFLOW PROBLEM GOVERNED BY THE ONE-DIMENSIONAL RADIATIVE EULER EQUATIONS

    FAN, L., RUAN, L. & XIANG, W., 2019, In: SIAM Journal on Mathematical Analysis. 51, 1, p. 595-625

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 8
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  15. 2018
  16. Published

    Three-Dimensional Steady Supersonic Euler Flow Past a Concave Cornered Wedge with Lower Pressure at the Downstream

    QU, A. & XIANG, W., May 2018, In: Archive for Rational Mechanics and Analysis. 228, 2, p. 431-476

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 15
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  17. Published

    Three-Dimensional Full Euler Flows with Nontrivial Swirl in Axisymmetric Nozzles

    Deng, X., Wang, T. & Xiang, W., 2018, In: SIAM Journal on Mathematical Analysis. 50, 3, p. 2740-2772

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 17
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  18. Published

    Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall

    Xiang, W., Zhang, Y. & Zhao, Q., 2018, In: Interfaces and Free Boundaries. 20, 3, p. 437-481

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 8
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  19. 2017
  20. Published

    Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data

    Cao, G., Xiang, W. & Yang, X., 15 Jul 2017, In: Journal of Differential Equations. 263, 2, p. 1055-1078

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 6
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  21. Published

    Incompressible Réthy Flows in Two Dimensions

    Cheng, J., Du, L. & Xiang, W., 2017, In: SIAM Journal on Mathematical Analysis. 49, 5, p. 3427-3475

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 17
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  22. 2016
  23. Published

    Incompressible limit of solutions of multidimensional steady compressible Euler equations

    Chen, G. G., Huang, F., Wang, T. & Xiang, W., Jun 2016, In: Zeitschrift fur Angewandte Mathematik und Physik. 67, 3, 75.

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 13
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  24. Published

    The uniqueness of transonic shocks in supersonic flow past a 2-D wedge

    Fang, B. & Xiang, W., 1 May 2016, In: Journal of Mathematical Analysis and Applications. 437, 1, p. 194-213

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Scopus citations: 16
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