On the cauchy problem for the zakharov 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 … 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 …
On the cauchy problem for the zakharov system
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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 … 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 …
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. 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 …
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 ... 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 …
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.
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: signs child is autisticWebAbstractInitial-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 ... signs cirrhosis of liver is decompensatedWeb28 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 … signs chordsWeb9 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. signs citing personal liabilityWebFaminskii 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 … signs closed for 4th of julyWebThe 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 signs christiansign schools