On whitham equations for camassa-holm
WebEquations of the Camassa-Holm hierarchy. × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or reset password. … Web16 de mai. de 2008 · We study the Whitham equations for the Camassa-Holm equation. The equations are neither strictly hyperbolic nor genuinely nonlinear. We are interested in the initial value problem of the Whitham equations. When the initial values are given by a step function, the Whitham solution is self-similar. When the initial values are given by a …
On whitham equations for camassa-holm
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Web28 de fev. de 2024 · We determine the stability and instability of a sufficiently small and periodic traveling wave to long wavelength perturbations, for a nonlinear dispersive equation which extends a Camassa-Holm equation to include all the dispersion of water waves and the Whitham equation to include nonlinearities of medium amplitude waves. … WebWe apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Camassa–Holm equation for decaying initial data, completing previous results by …
WebThis shows that the Camassa–Holm equation is a model for shallow water waves with non-hydrostatic pressure and a water layer on a horizontal bed. The linear dispersion … Web14 de mar. de 2005 · The Camassa–Holm and most members of Whitham's equation family were derived as one-space-dimensional approximations to the irrotational surface water waves in various parameter regimes (perhaps with additional complications such as Coriolis forces included), so one would expect very similar behavior, even though …
Web1 de jan. de 2009 · The Camassa–Holm equation u t + ( 3 u + 2 ν) u x − ϵ 2 ( u x x t + 2 u x u x x + u u x x x) = 0, u ( x, 0; ϵ) = u 0 ( x) describes waves in shallow water when … Web5 de set. de 2009 · Numerical Solution of the Small Dispersion Limit of the Camassa-Holm and Whitham Equations and Multiscale Expansions S. Abenda, T. Grava, C. Klein The small dispersion limit of solutions to the Camassa-Holm (CH) equation is characterized by the appearance of a zone of rapid modulated oscillations.
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WebThe Camassa–Holm equation has a number of constants of motion arising as eigenvalues of an associated spectral problem. ... Yang S (2024) Wave Breaking Phenomena for the Fornberg–Whitham Equation, Journal of Dynamics and Differential Equations, 10.1007/s10884-020-09866-z, 33:4, ... florida business administration degreeWebThe Camassa–Holm equation has a number of constants of motion arising as eigenvalues of an associated spectral problem. We give a description of the spectral … great vacation packages july 5-11WebModulation of Camassa--Holm equation and reciprocal transformations Abenda, Simonetta ; Grava, Tamara We derive the modulation equations or Whitham equations for the Camassa--Holm (CH) equation. We show that the modulation equations are hyperbolic and admit bi-Hamiltonian structure. florida bus hotlineWebWe study the generalized Camassa-Holm equation which contains the Camassa-Holm (CH) equation and Novikov equation as special cases with the periodic boundary condition. We get a blow-up scenario and obtain the global existence of strong and weak solutions under suitable assumptions, respectively. Then, we construct the periodic peaked … florida business bank melbourne flWebA numerical study of this limit for smooth hump-like initial data provides strong evidence for the validity of the conjecture that the phase of the asymptotic solution of the Camassa–Holm equation depends on the physical coordinates via the Whitham equations. Expand 3 PDF Save Alert great vacation packages for familiesWeb2 de mai. de 2007 · We survey some topics involving the Whitham equations, concentrating on the role of ψψ ∗ (or square eigenfunctions) in averaging, where ψ is the … florida business bancgroupgreat vacation packages cheap