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GLOBAL SOLUTIONS OF CERTAIN PLASMA FLUID MODELS IN 3D
GLOBAL SOLUTIONS CERTAIN PLASMA FLUID MODELS 3D
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
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
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
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
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
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
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...
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
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
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...