On the cauchy problem for the zakharov system

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August undefined, 2024

WebThe system (1)–(2) is known as the Zakharov system. The system is hard to treat, in particular, in multi-dimension. Thus we consider a substitute for the equation (2) : ... Our … 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...

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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 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 … canned items list

On local and global well-posedness of the Schr¨odinger-improved ...

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 … Web1 de jan. de 2013 · The Cauchy problem for the Zakharov–Kuznetsov equation has been proven to be globally well posed in the two-dimensional case for data ... Linares, F., … 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. canned jackfruit bulk

On the Cauchy Problem for the Zakharov System

On the Cauchy problem for the Zakharov-Rubenchik/ Benney …

Web15 de out. de 2015 · In this paper we shall be interested in the blow-up rate of the blow-up solutions to the Cauchy problem for the system (1.1), ... On the Cauchy problem for the Zakharov system. J. Funct. Anal., 151 (1997), pp. 384-436. View PDF View article View in Scopus Google Scholar [11] 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 canned italian green bean recipeWebIn this research paper, we are mainly interested in the Cauchy problem for the so-called Rotational-Modified Benjamin equation. This equation was introduced to describe the … canned jackfruit nutrition

"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 ... " - On the cauchy problem for the zakharov system

On the cauchy problem for the zakharov system

Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov …

Web18 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 … 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 …

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Web9 de jun. de 2013 · We prove global existence and scattering for small localized solutions of the Cauchy 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 Schrödinger component decays almost at a rate of t −7/6. 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 …

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: Web15 de dez. de 1997 · Abstract We study the local Cauchy problem in time for the Zakharov system, (1.1) and (1.2), governing Langmuir turbulence, with initial data ( u (0), n (0), ∂ t …

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 Publishing Ltd & London Mathematical Society Nonlinearity, Volume 24, Number 8 Citation Boling Guo and Jingjun Zhang 2011 Nonlinearity 24 2191 DOI 10.1088/0951-7715/24/8/004 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 …

WebAnnales 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 …

WebAbstractInitial-boundary value problems on a half-strip with different types of boundary conditions for the generalized Kawahara–Zakharov–Kuznetsov equation with … canned itemsWebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us fix one thing break another memeWeb18 de abr. de 2010 · Download PDF Abstract: In this paper, we study the Cauchy problem of the magnetic type Zakharov system which describes the pondermotive force and … canned jackfruit nutrition factsWeb1 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 … fix one tile in bathtubWebCauchy 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 canned jackfruit in water walmartWebAbstract. We consider the Zakharov system arising from hot plasma, which can be seen as the classical Zakharov system coupled to a given dissipative equation. We prove local … fix onenote syncingWeb23 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 … canned jackfruit in syrup recipes