On the cauchy problem for the zakharov system

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 … 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 ...

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

Web15 de out. de 2015 · In this paper we shall be interested in the blow-up rate of the blow-up solutions to the Cauchy problem for the system (1.1), ... On the Cauchy problem for the Zakharov system. J. Funct. Anal., 151 (1997), pp. 384-436. View PDF View article View in Scopus Google Scholar [11] 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 … income protection self employed insurance https://kwasienterpriseinc.com

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

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. 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 … 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 … inception folding city

On the Cauchy problem for the magnetic Zakharov - Springer

Category:Well-posedness of the Cauchy problem for the magnetic Zakharov …

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On the cauchy problem for the zakharov system

Well-posedness of the Cauchy problem for the magnetic Zakharov type system

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. … 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.

On the cauchy problem for the zakharov system

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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 ... 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 …

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 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 …

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 WebCauchy problem of the Zakharov system (or any other Wave-Schro¨dinger systems in 3 dimensions) is by Guo and Nakanishi [14], where they considered small radial solutions in the energy space. In [18], the second author, Hani and Shatah proved pointwise decay and scattering for sufficiently

Web28 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 …

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 … income protection statsWebarxiv: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 income protection sole traderWebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us income protection suitability reportWeb15 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 … income protection storiesWebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us income protection suncorpWeb1 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., … income protection scheme irelandWeb16 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 ... income protection state benefits