On the cauchy problem for the zakharov system

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August undefined, 2024

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 ... 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.

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 … 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... smart city aalborg

CAUCHY PROBLEM FOR THE ZAKHAROV SYSTEM ARISING

WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us 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 hillcrest cemetery holly springs ms

On the Cauchy Problem for the Zakharov System - ScienceDirect

On the Cauchy problem for the magnetic Zakharov system

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 … 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: hillcrest cemetery kent washingtonWebTL;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 ... hillcrest cemetery in conway

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

On the cauchy problem for the zakharov system

(PDF) Collapse of Langmuir Waves (1972) Vladimir E. Zakharov

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 … 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 …

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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 … 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 …

Web16 de mar. de 2024 · We consider the quantum Zakharov system in one spatial dimension and establish a local well-posedness theory when the initial data of the electric field and the deviation of the ion density lie in a Sobolev space with suitable ... Y. Tsutsumi and G. Velo, On the Cauchy problem for the Zakharov system, J. Funct. Anal. 151 ... 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 …

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 … 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.

Web18 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 …

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 smart city action plan aseanWeb18 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 … smart city a coruñaWeb23 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 … smart city a2aWeb3 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 … smart city academyWeb4 de dez. de 2015 · Title: Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions hillcrest cemetery mt holly ncWeb23 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. … smart city address hillcrest cemetery mount holly nc