On the cauchy problem for the zakharov system

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August undefined, 2024

WebMonatsh 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 … 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 …

Well-posedness of the Cauchy problem for the magnetic Zakharov …

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 ... 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 … arbitrase perdagangan di indonesia

On the 2D Zakharov system with L2 Schrödinger data - IOPscience

WebWe study the Cauchy problem for the Zakharov system in a two dimensional domain. Under natural assumptions on the data, we prove the existence and uniqueness of global solutions in H 2 ⊕H 1.The method of the construction of global solutions depends on the proof that solutions of some regularized system form a bounded sequence in H 2 ⊕H 1 … 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: WebI hold a Ph.D. in Mathematics from the Paris-Sud University and an Habilitation from the Nova University of Lisbon. My research is focused on dispersive equations and systems of partial differential equations, such as the Schrödinger equation. I served as President of the Portuguese Mathematical Society between 2024 and 2024. Also, I coordinated between … bakery in logan utah

Scattering and well-posedness for the Zakharov system at a …

[PDF] The Cauchy Problem for the Euler–Poisson System and …

Webarxiv:1802.06586v1 [math.ap] 19 feb 2024 on the cauchy problem for the zakharov-rubenchik/ benney-roskes system hung luong, norbert mauser, and jean-claude saut 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 … bakery in lehi utahWeb9 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. bakery in lebanon tn

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

On the cauchy problem for the zakharov system

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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 the existence and uniqueness of the global smooth solution for the problem via the so-called continuous method and delicate a priori estimates. 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., Saut, JC. (2013). The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation. In: Cicognani, M., Colombini, F., Del Santo, D. (eds ...

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WebIn 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 propagation of long intern Web1 de mar. 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 H s (R 2) for s > − 1 / 4, and these are optimal up to the endpoint.We utilize the nonlinear version of the classical Loomis-Whitney inequality 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. 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 …

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 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

Web4 de dez. de 2015 · Title: Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions

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 … bakery in madison indianaWebone 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 … arbitration 1 baseballWebAbstractInitial-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 ... bakery in lombard ilWeb15 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 … bakery in madison alWeb15 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] bakery in mahwah njWeb4 de dez. de 2015 · Title: Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions bakery in madera caWeb2 de dez. de 2015 · Title: Scattering and well-posedness for the Zakharov system at a critical space in four and more spatial dimensions Authors: Isao Kato , Kotaro Tsugawa Download PDF bakery in madelia mn