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We consider several dispersive time-reversible plasma uid models in 3 dimensions: the Euler-Poisson 2-fluid model, the relativistic Euler–Maxwell 1-fluid model, and the relativisti...
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...
The fundamental “two-fluid” model for describing plasma dynamics is given by the EulerMaxwell system, in which compressible ion and electronuids interact with their own self-consistent ...
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...
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...
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.
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...
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 .
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...

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