On the cauchy problem for the zakharov system
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. 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 ...
On the cauchy problem for the zakharov system
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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. 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 …
WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us 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 …
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 … Web2 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
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 ...
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 … porthcothan house cornwallWeb28 de fev. de 2024 · Published: June 2024. Abstract. We prove that the Cauchy problem for the two-dimensional Zakharov system is locally well-posed for initial data which are localized perturbations of a line solitary wave. Furthermore, for this Zakharov system, we prove a weak convergence to a nonlinear Schrödinger equation. Keywords: opthea sharesWebWe 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... opthealthWeb18 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 … porthcothan newsporthcothan mapWebThe 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 opthea us incWebone 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 … opthealth login