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On the cauchy problem for the zakharov system

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 … 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

(PDF) On The Cauchy Problem for the elliptic Zakharov-Schulman system …

Web29 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 ... WebAbstract. 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 … sims world builder https://floriomotori.com

Initial-boundary value problems on a half-strip for the generalized ...

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 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., … Web3 de abr. de 2009 · We prove local in time well-posedness for the Zakharov system in two space dimensions with large initial data in L 2 × H −1/2 × H −3/2.This is the space of optimal regularity in the sense that the data-to-solution map fails to be smooth at the origin for any rougher pair of spaces in the L 2-based Sobolev scale.Moreover, it is a natural space for … sims world editor

On the Cauchy problem for the magnetic Zakharov system

Category:Cauchy Problem for the Rotational-Modified Benjamin Equation

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On the cauchy problem for the zakharov system

Global well-posedness for the Cauchy problem of the Zakharov …

WebAbstractInitial-boundary value problems on a half-strip with different types of boundary conditions for the generalized Kawahara–Zakharov–Kuznetsov equation with … WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us

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 … 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 …

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 Web23 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. We first provide a proof of the local well-posedness of the Cauchy problem for the aforementioned system in dimensions two and three. Then we prove that the long-wave …

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

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 …

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 ... simsworkshop downloadWeb9 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. sims won\u0027t move when told to do actionWebThe 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 aim is to prove local and global well-posedness of the Cauchy problem for (1)–(3) with data rct good neighbours