On the cauchy problem for the zakharov system
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 … Web題目：Small energy scattering for the generalized Zakharov system with radial symmetry In this talk, ... 題目：On asymptotic behavior of the solution to the Cauchy problem for the wave-Schrödinger type system
On the cauchy problem for the zakharov system
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Web4 de dez. de 2015 · Title: Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions Web28 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 …
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 … 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.
Web1 de mar. de 2024 · The Cauchy problem for Zakharov-Kuznetsov equation on R 2 is shown to be global well-posed for the initial data in H s provided s > − 1 13. As … WebWe study the Cauchy problem associated with a quantum Zakharov-type system in three and higher spatial dimensions.Taking the quantum parameter to unit and developing Fourier restriction norm argume...
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 ...
Webone dimensional result, we prove well-posedness of the Benney system, (1.14) and (1.15), governing the interaction of short and long waves for the same values of ( k, l). 1997 … how do you know if you are a sinnerWebThe Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation. David Lannes, Felipe Linares, Jean-Claude ... Pages 215-258. On the Cauchy Problem for Noneffectively Hyperbolic Operators, a Transition Case. Tatsuo Nishitani; Pages 259-290. A Note on Unique Continuation for Parabolic … how do you know if you are a spiritual healerWeb23 de mai. de 2012 · We consider in this paper the rigorous justification of the Zakharov-Kuznetsov equation from the Euler-Poisson system for uniformly magnetized plasmas. … how do you know if you are a strep carrierWebCauchy 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: how do you know if you are a perfectionistWebMonatsh 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 … phone booth coverWebWe study the Cauchy problem associated with a quantum Zakharov-type system in three and higher spatial dimensions.Taking the quantum parameter to unit and developing … how do you know if you are an ap scholarWeb28 de fev. de 2024 · Published: June 2024. Abstract. We prove that the Cauchy problem for the two-dimensional Zakharov system is locally well-posed for initial data which are localized perturbations of a line solitary wave. Furthermore, for this Zakharov system, we prove a weak convergence to a nonlinear Schrödinger equation. Keywords: phone booth dayton ohio