Dr. HU Xianpeng (胡先鵬)

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Research Output

  1. 2022
  2. Published

    Incompressible Limit of Three Dimensional Compressible Viscoelastic Systems with Vanishing Shear Viscosity

    CUI, X. & HU, X., Aug 2022, In: Archive for Rational Mechanics and Analysis. 245, 2, p. 753–807

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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  3. Published

    DEFECTS IN LIQUID CRYSTAL FLOWS

    GAN, Z., HU, X. & LIN, F., 2022, In: SIAM Journal on Mathematical Analysis. 54, 2, p. 1695-1717

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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  4. 2021
  5. Published

    Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three

    HU, X., Dec 2021, In: Archive for Rational Mechanics and Analysis. 242, 3, p. 1907-1945

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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  6. 2020
  7. Published

    Optimal decay rates of isentropic compressible Navier-Stokes equations with discontinuous initial data

    Hu, X. & Wu, G., 5 Nov 2020, In: Journal of Differential Equations. 269, 10, p. 8132-8172

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 9
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  8. Published

    Suitable Weak Solutions for the Co-rotational Beris–Edwards System in Dimension Three

    DU, H., HU, X. & WANG, C., Nov 2020, In: Archive for Rational Mechanics and Analysis. 238, 2, p. 749–803

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 10
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  9. Published

    Global existence for the compressible viscoelastic system with zero shear viscosity in three dimensions

    Hu, X. & Zhao, W., 5 Feb 2020, In: Journal of Differential Equations. 268, 4, p. 1658-1685

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 7
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  10. Published

    Global Existence of Compressible Dissipative Elastodynamics Systems with Zero Shear Viscosity in Two Dimensions

    HU, X. & ZHAO, W., Feb 2020, In: Archive for Rational Mechanics and Analysis. 235, 2, p. 1177-1243

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 6
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  11. 2019
  12. Published

    Hausdorff Dimension of Concentration for Isentropic Compressible Navier–Stokes Equations

    HU, X., Oct 2019, In: Archive for Rational Mechanics and Analysis. 234, 1, p. 375–416

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 5
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  13. Published

    Well-posedness of the free boundary problem for incompressible elastodynamics

    Hu, X. & Huang, Y., 5 Jun 2019, In: Journal of Differential Equations. 266, 12, p. 7844-7889

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 5
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  14. 2018
  15. Published

    Global existence of weak solutions to two dimensional compressible viscoelastic flows

    Hu, X., 5 Oct 2018, In: Journal of Differential Equations. 265, 7, p. 3130-3167

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 13
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  16. Published

    Global solution to the 3D inhomogeneous nematic liquid crystal flows with variable density

    Hu, X. & Liu, Q., 15 Apr 2018, In: Journal of Differential Equations. 264, 8, p. 5300-5332

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 4
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  17. Published

    Equations for Viscoelastic Fluids

    Hu, X., Lin, F. & Liu, C., 2018, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Giga, Y. & Novotny, A. (eds.). Springer International Publishing, p. 1045-1073

    Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45) › 12_Chapter in an edited book (Author) › peer-review

    Scopus citations: 6
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  18. 2017
  19. Published

    Global Solutions to Repulsive Hookean Elastodynamics

    Hu, X. & Masmoudi, N., 1 Jan 2017, In: Archive for Rational Mechanics and Analysis. 223, 1, p. 543-590

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 7
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  20. 2016
  21. Published

    Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data

    Hu, X. & Lin, F., Feb 2016, In: Communications on Pure and Applied Mathematics. 69, 2, p. 372-404

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 41
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  22. 2015
  23. Published

    Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows

    Hu, X. & Wu, H., Aug 2015, In: Discrete and Continuous Dynamical Systems- Series A. 35, 8, p. 3437-3461

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 23
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  24. Published

    The initial-boundary value problem for the compressible viscoelastic flows

    Hu, X. & Wang, D., Mar 2015, In: Discrete and Continuous Dynamical Systems- Series A. 35, 3, p. 917-934

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 24
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  25. 2014

  26. Scaling limit for compressible viscoelastic fluids

    Hu, X. & Lin, F., 1 Jan 2014, Frontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics: In Memory of Gu Chaohao. World Scientific Publishing Co., p. 243-269

    Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45) › 12_Chapter in an edited book (Author) › peer-review

    Scopus citations: 2
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  27. 2013

  28. A blowup criterion for ideal viscoelastic flow

    Hu, X. & Hynd, R., 2013, In: Journal of Mathematical Fluid Mechanics. 15, 3, p. 431-437

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 16
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  29. Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows

    Hu, X. & Wu, G., 2013, In: SIAM Journal on Mathematical Analysis. 45, 5, p. 2815-2833

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 57
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  30. Global solution to the three-dimensional compressible flow of liquid crystals

    Hu, X. & Wu, H., 2013, In: SIAM Journal on Mathematical Analysis. 45, 5, p. 2678-2699

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

    Scopus citations: 36
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