Selected Publications of Jiahong Wu

  1. Jiahong Wu, Global regularity for a class of generalized magnetohydrodynamic equations, Journal of Mathematical
    Fluid Mechanics, accepted for publication.

  2. Chongsheng Cao and Jiahong Wu, Two regularity criteria for the 3D MHD equations, Journal of Differential Equations,
    accepted for publication. Also posted in arXiv: 0903.2577v1  [math.AP]  14 Mar 2009     [PDF file]

  3. Chongsheng Cao and Jiahong Wu, Global regularity for the 2D MHD equations with mixed partial dissipation
    and magnetic diffusion, submitted for publication.     Also posted in arXiv: 0901.2908v1  [math.AP]  19 Jan 2009

  4. Netra Khanal, Jiahong Wu, Juan-Ming Yuan and Bingyu Zhang, Complex-valued Burgers and KdV-Burgers
    equations, submitted for publication.     Also posted in arXiv: 0901.2132v1   [math.AP]  14 Jan 2009

  5. Yuelong Xiao, Zhouping Xin and Jiahong Wu, Vanishing viscosity limit for the 3D magnetohydrodynamic system with
    a slip boundary condition, Journal of Functional Analysis, 257 (2009), No.11, 3375-3394.     [PDF file]

  6. Juan-Ming Yuan and Jiahong Wu, A dual Petrov-Galerkin method for integrable fifth-order Korteweg-de Vries type
    equations, Discrete and Continuous Dynamical Systems-Series A, accepted for publication.     [PDF file]

  7. Netra Khanal, Ramjee Sharma, Jiahong Wu and Juan-Ming Yuan, A dual Petrov-Galerkin method for extended fifth-order
    Korteweg-de Vries type equations,   Discrete Contin. Dyn. Syst. 2009, Dynamical Systems and Differential
    Equations. Proceedings of the 7th AIMS International Conference , accepted for publication.   [PDF file]

  8. Peter Constantin, Gautam Iyer and Jiahong Wu, Global regularity for a modified critical dissipative quasi-geostrophic equation,
    Indiana University Mathematics Journal, 57 (2008), No.6, 2681-2692.     [PDF file]

  9. John Meng-Kai Hong , Jiahong Wu and Juan-Ming Yuan, A new solution representation for the BBM equation in a quarter
    plane and the eventual periodicity, Nonlinearity, 22 (2009), No.8, 1927-1944.     [PDF file]

  10. Wengu Chen, Junfeng Li, Changxing Miao and Jiahong Wu, Low regularity solutions of two fifth-order KdV type equations,
    Journal d'Analyse Mathématique, 107 (2009), No.1, 221-238.     [PDF file]

  11. Peter Constantin and Jiahong Wu, Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations,
    Ann. Inst. H. Poincare Anal. Non Lineaire, 26 (2009), No.1, 159-180.     [PDF file]

  12. Peter Constantin and Jiahong Wu, Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation,
    Ann. Inst. H. Poincare Anal. Non Lineaire, 25 (2008), No.6, 1103-1110.     [PDF file]

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

  14. Jerry Bona and Jiahong Wu, Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane,
    Discrete and Continuous Dynamical Systems-Series A, 23 (2009), No.4, 1141-1168.     [PDF file]

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

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

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

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

  19. Jiahong Wu and 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.

  20. Jiahong Wu, 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]

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

  22. Jiahong Wu and 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]

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

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

  25. Juan-Ming Yuan and Jiahong Wu, The complex KdV equation with or without dissipation, Discrete Contin. Dyn. Syst. Ser. B,
    5 (2005), No. 2, 489-512.

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

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

  28. Jiahong Wu, 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.

  29. Jiahong Wu, Generalized MHD equations, J. Differential Equations, 195 (2003), No.2, 284-312.     [PDF file]

  30. Jiahong Wu, The 2D dissipative quasi-geostrophic equation, Applied Math. Letters, 15 (2002), 925-930.

  31. Jerry Bona and Jiahong Wu, The zero-viscosity limit of the 2D Navier-Stokes equations, Studies in Applied Math., 109 (2002),
    No. 4, 265-278.     [PDF file]

  32. Jiahong Wu, Bounds and new approaches for the 3D MHD equations, J. Nonlinear Science, 12 (2002), No. 4, 395-413.
    [PDF file]

  33. Jiahong Wu, The quasi-geostrophic equation and its two regularizations, Communications in Partial Differential Equations,
    27 (2002), No. 5/6, 1161-1181.     [PDF file]

  34. Jiahong Wu, Dissipative quasi-geostrophic equations with $L^p$ data, Electron J. Differential Equations, 2001 (2001),
    1-13.     [PDF file]

  35. Peter Constantin, Diego Córdoba and Jiahong Wu, On the critical dissipative quasi-geostrophic equation, Indiana University
    Mathematics Journal, 50 (2001), No. 1, 97-107.     [PDF file]

  36. Jerry Bona and Jiahong Wu, Zero dissipation limits of nonlinear waves, Modélisation Mathématique et Analyse Numérique,
    34 (2000), 275-301.

  37. Jiahong Wu, Analytic results related to magneto-hydrodynamic turbulence, Physica D, 136 (2000), 353-372.

  38. Peter Constantin and Jiahong Wu, Behavior of solutions of 2D quasi-geostrophic equations, SIAM J. Math. Anal., 30 (1999),
    937-948.

  39. Jiahong Wu, The complex Ginzburg-Landau equation with data in Sobolev spaces of negative indices, Houston J. Math. , 25 (1999),
    No. 2, 387-397.     [PDF file]

  40. Jiahong Wu, Well-posedness of a semi-linear heat equation with weak initial data, J. Fourier Analysis and Applications, 4 (1998),
    629-642.     [PDF file]

  41. Jiahong Wu, The inviscid limit of the complex Ginzburg-Landau equation, J. Differential Equations, 142 (1998), 413-433.
    [PDF file]

  42. Jiahong Wu, Quasi-geostrophic type equations with weak initial data, Electron J. Differential Equations, 1998 (1998), 1-10.
    [PDF file]

  43. Jiahong Wu, Inviscid limits and regularity estimates for the solutions of the 2D dissipative quasi-geostrophic equations, Indiana University
    Mathematics Journal, 46 (1997), No. 4, 1113-1124.     [PDF file]

  44. Jiahong Wu, Viscous and inviscid magneto-hydrodynamics equations, Journal d'Analyse Mathématique, 73 (1997), 251-265.

  45. Jiahong Wu, Quasi-geostrophic type equations with initial data in Morrey spaces, Nonlinearity, 10 (1997), 1409-1420.     [PDF file]

  46. Peter Constantin and Jiahong Wu, Statistical solutions of the Navier-Stokes equations on the phase space of vorticity and their inviscid limits,
    J. Math. Phys. , 38 (1997), 3031-3045.

  47. Peter Constantin and Jiahong Wu, The inviscid limit for non-smooth vorticity, Indiana University Mathematics Journal, 45 (1996),
    No. 1, 67-81.     [PDF file]

  48. Peter Constantin and Jiahong Wu, Vanishing viscosity limit for vortex patches, Institut Mittag-Leffler, 26 (1995), 1-15.

  49. Peter Constantin and Jiahong Wu, Inviscid limit for vortex patches, Nonlinearity, 8 (1995), 735-742.     [PDF file]