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GLOBAL SOLUTIONS OF CERTAIN PLASMA FLUID MODELS IN 3D
GLOBAL SOLUTIONS CERTAIN PLASMA FLUID MODELS 3D
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2014/4/3
We consider several dispersive time-reversible plasma fluid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler–Maxwell 1-fluid model, and the relativisti...
GLOBAL SOLUTIONS FOR THE GRAVITY WATER WAVES SYSTEM IN 2D
GLOBAL SOLUTIONS THE GRAVITY WATER WAVES SYSTEM 2D
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2014/4/3
We consider the gravity water waves system in the case of a one dimensional interface, for suf- ficiently smooth and localized initial data, and prove global existence of small solutions. This i...
GLOBAL SOLUTIONS OF THE EULER–MAXWELL TWO-FLUID SYSTEM IN 3D
GLOBAL SOLUTIONS THE EULER–MAXWELL TWO-FLUID SYSTEM 3D
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2014/4/3
The fundamental “two-fluid” model for describing plasma dynamics is given by the EulerMaxwell system, in which compressible ion and electron fluids interact with their own self-consistent ...
GLOBAL SOLUTIONS OF QUASILINEAR SYSTEMS OF KLEIN–GORDON EQUATIONS IN 3D
GLOBAL SOLUTIONS QUASILINEAR SYSTEMS KLEIN–GORDON EQUATIONS 3D
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2014/4/3
We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stab...
The global solutions of algebro-geometric type for Degasperis-Procesi hierarchy
The global solutions of algebro-geometric type Degasperis-Procesi hierarchy Exactly Solvable and Integrable Systems
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2012/4/26
Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the second- and third-order Lax operators, respectively. F...
Global solutions to a non-local diffusion equation with quadratic non-linearity
Global solutions a non-local diffusion equation quadratic non-linearity
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2011/1/21
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with ∈ [0, 2/3):@tu = (−△)−1u △u + u2, u(t = 0) = u0.
Global solutions for the generalized Boussinesq equation in low-order Sobolev spaces
Global solutions generalized Boussinesq equation low-order Sobolev spaces
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2010/12/14
We show that the Cauchy problem for the defocusing generalized Boussinesq equation utt − uxx + uxxxx − (|u|2ku)xx = 0, k 1, on the real line is globally well-posed in Hs(R) for s > 1W...
On the global solutions of the Higgs boson equation
global solutions Higgs boson equation
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2010/12/7
In this article we study global in time (not necessarily small) solutions of the equation for the Higgs boson in the Minkowski and in the de Sitter spacetimes. We reveal some qualitative behavior of t...
Global Solutions for Schrödinger-Debye System for Data with an Infinite $l^2$- norm
Schrö dinger-Debye system Global well-posedness
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2010/12/1
We obtain global well-posedness results for the Cauchy problem associated to the the chrödinger-Debye system for two class of data with infinite L2-norm .
The Cauchy problems and Global Solutions for Deybe
Burgers' equations Deybe system pseudomeasure spaces self-similar solutions asymptotic stability
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2007/12/11
In this paper we consider the Cauchy problems of Burgers' equations and the Deybe system. Their existence and uniqueness of the time-global solutions for small initial data in some pseudomeasure space...
Global Solutions of Einstein-Dirac Equation on the Conformal Space
Lorentz manifold Dirac operator conformal space
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2007/8/15
2001Vol.36No.2pp.129-130DOI:
Global Solutions of Einstein-Dirac Equation on the Conformal Space
LU Qi-Keng,1 WANG Shi-Kun2 and WU Ke3
1 Institute of Mathematics, Academ...
GLOBAL SOLUTIONS AND BLOW UP FOR ACTIVATOR INHIBITOR MODEL
Global solutions blow up of solution a
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2007/8/7
This paper deals with the existence and nonexistence of global positive solutions of initial and boundary value problem for the general activator-inhibitor model... In this paper, we do not restrict ...