Selected Recent Papers of Jiahong Wu

  1. (with Yuelong Xiao and Zhouping Xin) Vanishing viscosity limit for the 3D magnetohydrodynamic system with
    a slip boundary condition, submitted for publication.     [PDF file]

  2. (with Netra Khanal, Ramjee Sharma and Juan-Ming Yuan) A dual Petrov-Galerkin method for extended fifth-order
    Korteweg-de Vries type equations, submitted for publication.     [PDF file]

  3. (with Peter Constantin and Gautam Iyer) Global regularity for a modified critical dissipative quasi-geostrophic equation,
    Indiana University Mathematics Journal, accepted for publication.    Also posted in arxiv: 0803.1318 (2008).

  4. (with John Meng-Kai Hong and Juan-Ming Yuan) A new solution representation for the BBM equation in a quarter plane
    and the eventual periodicity, submitted for publication. Also posted in arXiv: 0802.0712 (2008).

  5. (with Wengu Chen, Junfeng Li and Changxing Miao) Low regularity solutions of two fifth-order KdV type equations,
    Journal d'Analyse Mathématique, accepted for publication. Also posted in arXiv: 0710.2704 (2007).

  6. (with Peter Constantin) Regularity of Holder continuous solutions of the supercritical quasi-geostrophic equation,
    Ann. Inst. H. Poincare Anal. Non Lineaire, in press.     [Article in Press]

  7. (with Peter Constantin) Holder continuity of solutions of supercritical dissipative hydrodynamic transport equation,
    Ann. Inst. H. Poincare Anal. Non Lineaire, in press.     [Article in Press]

  8. (with Netra Khanal and Juan-Ming Yuan) The Kawahara equation in weighted Sobolev spaces, Nonlinearity,
    21 (2008), no.7, 1489-1505.     [PDF file]

  9. (with Jerry Bona) Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane, to appear in
    a special volume of Discrete and Continuous Dynamical Systems-Series A.     [PDF file]

  10. (with Jie Shen and Juan-Ming Yuan) A dual-Petrov-Galerkin method for the Kawahara-type equations,
    Journal of Scientific Computing, 34 (2008), no.1, 48-63.     [PDF file]

  11. Regularity criteria for the generalized MHD equations, Communications in Partial Differential Equations, 33 (2008),
    no.2, 285-306.     [PDF file]

  12. (with Jie Shen and Juan-Ming Yuan) Eventual periodicity for the KdV equation on a half line, Physica D, 227 (2007), no.2,
    105-119.     [PDF file]

  13. Existence and Uniqueness results for the 2-D dissipative quasi-geostrophic equation, Nonlinear Analysis, 67 (2007), no.11,
    3013-3036.     [PDF file]

  14. (with Juan-Ming Yuan) Local well-posedness and local (in space) regularity results for the complex KdV equation,
    Proceedings of the Royal Society of Edinburgh-Section A: Mathematics, 137 (2007), no. 1, 203-223.

  15. Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces,
    Commun. Math. Phys., 263 (2006), no. 3, 803-831.     [PDF file]

  16. (with A. A. Alazman, John Albert, Jerry Bona and Min Chen) Comparisons between the BBM equation and a Boussinesq system,
    Advances in Differential Equations, 11 (2006), no. 2, 121-166.     [PDF file]

  17. (with Juan-Ming Yuan) The effect of dissipation on solutions of the complex KdV equation, Math. Comput. Simulation,
    69 (2005), no. 5-6, 589-599.     [PDF file]

  18. Solutions of the 2D quasi-geostrophic equation in Hölder spaces, Nonlinear Analysis, 62 (2005), no. 4, 579-594.    
    [PDF file]

  19. The 2D QG equation with critical or super-critical dissipation, Nonlinearity, 18 (2005), 139-154.

  20. (with Juan-Ming Yuan) The complex KdV equation with or without dissipation, Discrete Contin. Dyn. Syst. Ser. B, 5 (2005),
    no. 2, 489-512.

  21. Global solutions of the 2D dissipative QG equation in Besov spaces, SIAM J. Math. Anal., 36 (2004/2005), no. 3, 1014-1030.    
    [PDF file]

  22. The generalized imcompressible Navier-Stokes equations in Besov spaces, Dynamics of Partial Differential Equations,
    1 (2004), no. 4, 381-400.     [PDF file]

  23. Regularity results for weak solutions of the 3D MHD equations, Partial Differential Equations and Applications,
    Discrete Contin. Dyn. Syst., 10 (2004), no. 1-2, 543-556.