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Your search keyword '"Xu, Xiaojing"' showing total 3 results
3 results on '"Xu, Xiaojing"'

1. Remark on an improved regularity criterion for the 3D MHD equations.

Author

Xu, Xiaojing, Ye, Zhuan, and Zhang, Zujin

Subjects
*MAGNETOHYDRODYNAMICS, *NUMERICAL solutions to equations, *MATHEMATICAL proofs, *MATHEMATICAL models, *NUMERICAL analysis
Abstract

In this paper we investigate the regularity criterion for the local in time classical solution to the 3D incompressible magnetohydrodynamic equations. We prove that if ∇ × u belongs to L 2 ( 0 , T ; B ̇ ∞ , ∞ − 1 ) , then the local solution ( u , B ) can be extended beyond time T . As a consequence, this result extends several previous works. [ABSTRACT FROM AUTHOR]

Published
2015
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2. Global regularity of 3D generalized incompressible magnetohydrodynamic- model.

Author

Ye, Zhuan and Xu, Xiaojing

Subjects
*MAGNETOHYDRODYNAMICS, *THREE-dimensional imaging, *INCOMPRESSIBLE flow, *GENERALIZATION, *CAUCHY problem, *DIFFUSION, *MATHEMATICAL models
Abstract

Abstract: In this paper, we prove the global regularity to the Cauchy problem of 3D incompressible magnetohydrodynamic- (MHD- ) model with fractional diffusion. We prove that if the exponents and satisfy with , then the 3D MHD- model with fractional diffusion admits a unique global smooth solution. [Copyright &y& Elsevier]

Published
2014
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3. The lifespan of solutions to the inviscid 3D Boussinesq system.

Author

Xu, Xiaojing and Ye, Zhuan

Subjects
*INVISCID flow, *BOUSSINESQ equations, *BESOV spaces, *MATHEMATICAL bounds, *PROBLEM solving, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, we consider the inviscid 3D Boussinesq system in Besov spaces and obtain the lower bound for the lifespan of solutions. [Copyright &y& Elsevier]

Published
2013
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