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Publications Influence

Behavior of solutions of 2D quasi-geostrophic equations

- P. Constantin, J. Wu
- Mathematics
- 1 June 1999

We study solutions to the 2D quasi-geostrophic (QGS) equation $$ \frac{\partial \theta}{\partial t}+u\cdot\nabla\theta + \kappa (-\Delta)^{\alpha}\theta=f $$ and prove global existence and uniqueness… Expand

307 10- PDF

AI Challenger : A Large-scale Dataset for Going Deeper in Image Understanding

TLDR

45 10- PDF

Generalized MHD equations

- J. Wu
- Mathematics
- 10 December 2003

Abstract Solutions of the d-dimensional generalized MHD (GMHD) equations ∂ t u+u· ∇ u=− ∇ P+b· ∇ b−ν(− Δ ) α u, ∂ t b+u· ∇ b=b· ∇ u−η(− Δ ) β b are studied in this paper. We pay special attention to… Expand

221 8- PDF

Identification of Anthropogenic and Natural Inputs of Sulfate and Chloride into the Karstic Ground Water of Guiyang, SW China: Combined δ37Cl and δ34S Approach

- C. Liu, Yunchao Lang, H. Satake, J. Wu, Si-liang Li
- Environmental Science
- 1 August 2008

Because of active exchange between surface and groundwater of a karstic hydrological system, the groundwater of Guiyang, the capital city of Guizhou Province, southwest China, has been seriously… Expand

31 7

Global Regularity for a Class of Generalized Magnetohydrodynamic Equations

- J. Wu
- Mathematics
- 1 June 2011

It remains unknown whether or not smooth solutions of the 3D incompressible MHD equations can develop finite-time singularities. One major difficulty is due to the fact that the dissipation given by… Expand

131 7- PDF

Two regularity criteria for the 3D MHD equations

This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one direction while the second one requires… Expand

201 6- PDF

Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation

- P. Constantin, J. Wu
- Mathematics
- 21 January 2007

Abstract We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ( α 1 / 2 ) dissipation ( − Δ ) α : If a Leray–Hopf weak solution is Holder… Expand

118 6- PDF

Regularity Criteria for the Generalized MHD Equations

- J. Wu
- Mathematics
- 31 January 2008

This paper derives regularity criteria for the generalized magnetohydrodynamics (MHD) equations, a system of equations resulting from replacing the Laplacian −Δ in the usual MHD equations by a… Expand

164 5- PDF

A Large-Scale Attribute Dataset for Zero-Shot Learning

- Bo Zhao, Yanwei Fu, R. Liang, J. Wu, Y. Wang, Y. Wang
- Computer Science
- IEEE/CVF Conference on Computer Vision and…
- 12 April 2018

TLDR

17 5- PDF

Lower Bounds for an Integral Involving Fractional Laplacians and the Generalized Navier-Stokes Equations in Besov Spaces

- J. Wu
- Mathematics
- 1 May 2006

When estimating solutions of dissipative partial differential equations in Lp-related spaces, we often need lower bounds for an integral involving the dissipative term. If the dissipative term is… Expand

141 5- PDF