On the cauchy problem for the zakharov system

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August undefined, 2024

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 … 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.

On the Cauchy problem for the magnetic Zakharov - Springer

Web18 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 … 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 … dark cherry rehab goldsboro nc

Cauchy Problem for the Rotational-Modified Benjamin Equation

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 ... 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 … 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 … biscuit with marshmallow

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

Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov …

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... 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 … dark cherry roll top deskWebAnnales de l'Institut Henri Poincaré C, Analyse non linéaire. Volume 38, Issue 2, March–April 2024, Pages 451-505. Global well-posedness for the Cauchy problem of … dark cherry red hair color

"Web9 de dez. de 2013 · We study the Cauchy problem for a type of generalized Zakharov system. With the help of energy conservation and approximate argument, we obtain global existence and uniqueness in Sobolev spaces for this system. Particularly, this result implies the existence of classical solution for this generalized Zakharov system. " - On the cauchy problem for the zakharov system

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 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 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

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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 … 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 ...

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 … Webarxiv: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

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 ... 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 …

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. bisculm physiotherapieWeb29 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 ... biscuit with jam in the middleWebWe 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 … dark cherry red lipstickWebWe 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 … biscuit yellow dogWebWe 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 ... dark cherry sew insWebAbstractInitial-boundary value problems on a half-strip with different types of boundary conditions for the generalized Kawahara–Zakharov–Kuznetsov equation with … dark cherry red blonde hair colorWeb23 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. … biscuit world east london