2024 On the cauchy problem for the zakharov system

On the cauchy problem for the zakharov system

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August undefined, 2024

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 ... WebThe 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 …

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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 ... 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. molton brown singapore

ON THE CAUCHY PROBLEM FOR THE ZAKHAROV-RUBENCHIK/ …

WebOn The Cauchy Problem for the elliptic Zakharov-Schulman system in dimensions 2 and 3 . × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer ... On The Cauchy Problem for the elliptic Zakharov-Schulman system in dimensions 2 and 3. Mahendra Panthee. 2010. 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., … 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 ... ia form 843

On the Cauchy problem for the magnetic Zakharov system

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 aim is to prove local and global well-posedness of the Cauchy problem for (1)–(3) with data 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: ia fort gordon siteWebWe 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 … ia-formation

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On the cauchy problem for the zakharov system

Local well-posedness for the quantum Zakharov system in three …

WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us 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 …

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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 … 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 …

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. … 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 ...

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 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

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 ...

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 … iafor will baberWeb1 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 … iaf ortopediaWebarxiv: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 ia.fort gordan cyber awarenessWeb2 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 molton brown silverburnWebIn 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 … molton brown south africaWeb15 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 … ia for powerpointWebIn 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. molton brown sleep mist