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On the generalized korteweg-de vries equation

WebIn the last twenty years, there have been significant advances in the study of the blow-up phenomenon for the critical generalized Korteweg-de Vries equation, including the determination of sufficient conditions for blowup, the stability of blowup in a refined topology and the classification of minimal mass blowup. Exotic blow-up solutions with a continuum … WebIn this letter, we propose a hierarchy of new generalized Korteweg–de Vries equations and find that the generalized Korteweg–de Vries equation has a class of pseudo-peakons. …

Control and Stabilization of the Korteweg-de Vries Equation on a ...

Web1 de mai. de 1990 · Abstract. We study the longtime stability of small solutions to the IVP for the generalized Korteweg-de Vries equation. We obtain a lower bound for the degrees of nonlinearity of the perturbation which guarantees that the small solutions of the nonlinear problem behave asymptotically like the solutions of the associated linear problem. WebIn mathematics, a generalized Korteweg–De Vries equation (Masayoshi Tsutsumi, Toshio Mukasa & Riichi Iino 1970) is the nonlinear partial differential equation ∂ t u + ∂ x 3 u + ∂ … songs like we no speak americano https://kokolemonboutique.com

The Cauchy problem for the generalized Korteweg-de-Vries equation

WebAbstract—We prove the well-posedness of the generalized Korteweg-de Vries-Burgers equation with nonlinear dispersion and nonlinear dissipation . u t +f (u) x −δg(u xx) x −εh(u x) x =0. Contrary the linear case, the dispersion properties of the free evolution are useless and a vanishing parabolic regularization is then used. Web在这篇论文，我们把我们的焦点放在一个可变系数的第五顺序的 Korteweg-de Vries (fKdV ) 方程上，它拥有很多优秀性质并且具有物理、工程的领域里的当前的重要性。某些限制 … WebIn this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries (gKdV) equation songs like welcome to the internet

Conservative, high-order numerical schemes for the generalized …

Category:The generalized Korteweg-de Vries equation on the half line

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On the generalized korteweg-de vries equation

Dispersion of small amplitude solutions of the generalized …

WebProceedings of the American Mathematical Society. Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics. ISSN 1088-6826 (online) ISSN 0002-9939 (print) WebThis paper proposes a new class of arbitrarily high-order conservative numerical schemes for the generalized Korteweg--de Vries (KdV) equation. This approach is based on the scalar auxiliary variable method. The equation is reformulated into an equivalent system by introducing a scalar auxiliary variable, and the energy is reformulated into a sum of two …

On the generalized korteweg-de vries equation

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Web11 de abr. de 2024 · The focus here is upon the generalized Korteweg–de Vries equation, \begin {aligned} u_t + u_x + \frac {1} {p} \left ( u^p \right) _x +u_ {xxx} \, = \, 0, \end … Web24 de jul. de 2006 · DOI: 10.1016/J.PHYSLETA.2006.03.080 Corpus ID: 120358134; Transformations for a generalized variable-coefficient Korteweg de Vries model from blood vessels, Bose Einstein condensates, rods and positons with symbolic computation

Web4 de nov. de 2006 · Then passing to the limit in this sequence, we get the persistence for the solution u (t) in X 2,θ as desired. Moreover, since X s,1 ⊆ X s,θ , for all s ∈ R and θ ∈ [0] [1], see Remark 1. ... WebA note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces . × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or reset password. Enter the email address you signed up with and we'll email you a reset ...

Web31 de dez. de 2010 · Numerical Study of breakup in generalized Korteweg-de Vries and Kawahara equations. B. Dubrovin, T. Grava, C. Klein. This article is concerned with a … WebTravelling waves as solutions to the Korteweg-de Vries equation (KdV) which is a non-linear Partial Differential Equation (PDE) of third order have been of some interest …

WebMasayoshi Tsutsumi, Toshio Mukasa, Parabolic regularizations for the generalized Korteweg-de Vries equation, Funkcial. Ekvac. , 14 (1971), 89–110 Google Scholar

WebThe Korteweg–de Vries equation \\[ u_t + uu_x + u_{xxx} = 0\\] is a nonlinear partial differential equation arising in the study of a number of different physical systems, e.g., … small footprint hf antennaWeb9 de jul. de 2006 · It is similar to a previous observation by Christ,Colliander and Tao in [8] that the solutions to Korteweg-de Vries equations (KdV) or modified KdV at high … small footprint linuxWeb17 de fev. de 2012 · Abstract. This paper is concerned with the internal stabilization of the generalized Korteweg--de Vries equation on a bounded domain. The global well … small footprint coat rack