Selected Publications of Jiahong Wu
- Jiahong Wu,
Global regularity for a class of generalized
magnetohydrodynamic equations,
Journal of Mathematical
Fluid Mechanics,
accepted for publication.
- 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]
- 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
- 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
- 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]
- 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]
- 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]
- 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]
-
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]
- 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]
- 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]
- 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]
- Netra Khanal,
Jiahong Wu
and
Juan-Ming Yuan, The Kawahara equation in weighted Sobolev
spaces, Nonlinearity,
21 (2008), No.7, 1489-1505. [PDF file]
- 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]
- 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]
- Jiahong Wu,
Regularity criteria for the generalized MHD equations,
Communications in Partial Differential Equations,
33 (2008), No.2, 285-306.
[PDF file]
- 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]
- Jiahong Wu,
Existence and Uniqueness results for the 2-D dissipative quasi-geostrophic equation,
Nonlinear Analysis,
67 (2007), No.11, 3013-3036.
[PDF file]
- 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.
- 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]
- 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]
-
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]
- Jiahong Wu,
Solutions of the 2D quasi-geostrophic equation in Hölder spaces,
Nonlinear Analysis, 62 (2005), No. 4, 579-594.
[PDF file]
- Jiahong Wu,
The 2D QG equation with critical or super-critical dissipation,
Nonlinearity,
18 (2005), 139-154.
- 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.
- 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]
- Jiahong Wu,
The generalized imcompressible Navier-Stokes equations in Besov spaces,
Dynamics of Partial Differential
Equations, 1 (2004), No. 4, 381-400. [PDF file]
- 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.
- Jiahong Wu,
Generalized MHD equations,
J. Differential Equations, 195 (2003), No.2, 284-312. [PDF file]
- Jiahong Wu,
The 2D dissipative quasi-geostrophic equation,
Applied Math. Letters, 15 (2002), 925-930.
- 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]
- Jiahong Wu,
Bounds and new approaches for the 3D MHD equations,
J. Nonlinear Science, 12 (2002), No. 4, 395-413.
[PDF file]
- Jiahong Wu,
The quasi-geostrophic equation and its two regularizations,
Communications in Partial Differential Equations,
27 (2002), No. 5/6, 1161-1181. [PDF file]
- Jiahong Wu,
Dissipative quasi-geostrophic equations with $L^p$ data,
Electron J. Differential Equations, 2001 (2001),
1-13. [PDF file]
- 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]
- Jerry Bona and
Jiahong Wu,
Zero dissipation limits of nonlinear waves,
Modélisation Mathématique et Analyse Numérique,
34 (2000), 275-301.
- Jiahong Wu,
Analytic results related to magneto-hydrodynamic turbulence,
Physica D, 136
(2000), 353-372.
- Peter Constantin
and Jiahong Wu,
Behavior of solutions of 2D quasi-geostrophic equations,
SIAM J. Math. Anal., 30 (1999),
937-948.
- 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]
- 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]
- Jiahong Wu,
The inviscid limit of the complex Ginzburg-Landau equation,
J. Differential Equations, 142 (1998), 413-433.
[PDF file]
- Jiahong Wu,
Quasi-geostrophic type equations with weak initial data,
Electron J. Differential Equations,
1998 (1998), 1-10.
[PDF file]
- 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]
- Jiahong Wu,
Viscous and inviscid magneto-hydrodynamics equations,
Journal d'Analyse Mathématique, 73 (1997),
251-265.
- Jiahong Wu,
Quasi-geostrophic type equations with initial data in Morrey spaces,
Nonlinearity,
10 (1997), 1409-1420. [PDF file]
- 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.
- Peter Constantin
and Jiahong Wu,
The inviscid limit for non-smooth vorticity,
Indiana University Mathematics Journal, 45 (1996),
No. 1, 67-81. [PDF file]
- Peter Constantin
and Jiahong Wu,
Vanishing viscosity limit for vortex patches,
Institut Mittag-Leffler,
26 (1995), 1-15.
- Peter Constantin
and Jiahong Wu,
Inviscid limit for vortex patches,
Nonlinearity,
8 (1995), 735-742. [PDF file]
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