On the cauchy problem for the zakharov system
WebCauchy problem of the Zakharov system (or any other Wave-Schro¨dinger systems in 3 dimensions) is by Guo and Nakanishi [14], where they considered small radial solutions in the energy space. In [18], the second author, Hani and Shatah proved pointwise decay and scattering for sufficiently Web16 de jun. de 2011 · Well-posedness of the Cauchy problem for the magnetic Zakharov type system. Boling Guo 1 and Jingjun Zhang 1,2. Published 16 June 2011 • 2011 IOP …
On the cauchy problem for the zakharov system
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WebAbstractInitial-boundary value problems on a half-strip with different types of boundary conditions for the generalized Kawahara–Zakharov–Kuznetsov equation with nonlinearity of higher order are considered. In particular nonlinearity can be quadratic and ... WebThe Cauchy problem for Zakharov-Kuznetsov equation on R2 is shown to be global well-posed for the initial data in Hs provided s > -113. As conservation laws are invalid in Sobolev spaces below L2, we construct an almost conserved quantity by multilinear correction term following the I-method introduced by Colliander, Keel, Staffilani, Takaoka and Tao.
WebIn this paper the initial value problem for a class of Zakharov equations arising from ion-acoustic modes is discussed. Without assuming the Cauchy data are small, we prove … WebWe prove the local well-posedness for the Cauchy problem of the Korteweg--de Vries equation in a quasi ... Solvability of an Initial-Boundary Value Problem for a Second Order Parabolic System with a Third Order ... Y. Tsutsumi, and G. Velo, \itshape On the Cauchy problem for the Zakharov system, J. Funct. Anal., 151 (1997), pp. 384 ...
WebFaminskii Cauchy problem for the Zakharov-Kuznetsov equation, Differential Equations, 31 ( 1995), pp. 1002 -- 1012 ISI Google Scholar. 3. J. Ginibre ... The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation. 5 … WebTL;DR: In this article, the authors studied the local Cauchy problem in time for the Zakharov system, (1.1) and (2.2), governing Langmuir turbulence, with initial data ( u (0), n (0) ∈ H k ⊕ H lscr; H l−1, in arbitrary space dimension ν, defined a natural notion of criticality according to which the critical values of ( k, l) are ( ν /2 ...
WebCauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t−1, whereas the Schr¨odinger component decays almost at a rate of t−7/6. 1. Introduction The purpose of this manuscript is to study the asymptotic behavior of small solutions of the Zakharov system given by:
Web19 de fev. de 2024 · We address various issues concerning the Cauchy problem for the Zakharov-Rubenchik system (known as the Benney-Roskes system in water waves … northern regional college limavadyWebIn this paper the initial value problem for a class of Zakharov equations arising from ion-acoustic modes is discussed. Without assuming the Cauchy data are small, we prove the existence and uniqueness of the global smooth solution for the problem via the so-called continuous method and delicate a priori estimates. northern regional college irelandWeb29 de nov. de 2024 · This paper is concerned with the Cauchy problem of the 2D Zakharov-Kuznetsov equation. We prove bilinear estimates which imply local in time well-posedness in the Sobolev space Hs(R2) for s>−1/4 ... northern regional college websiteWeb18 de abr. de 2010 · August 2011 · Nonlinearity. This paper deals with the well-posedness of the Cauchy problem for the magnetic Zakharov type system. This system describes … northern regional college northern irelandWebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us how to run c program in telnetWebMonatsh Math (2013) 170:89–111 DOI 10.1007/s00605-012-0402-0 On the Cauchy problem for the magnetic Zakharov system Jingjun Zhang · Chunxiao Guo · Boling … northern regional health authority the pasWebAnnales de l'Institut Henri Poincaré C, Analyse non linéaire. Volume 38, Issue 2, March–April 2024, Pages 451-505. Global well-posedness for the Cauchy problem of … northern regional college pa