Well-posedness of modified Camassa-Holm equations

From MaRDI portal
Publication:1016466

DOI10.1016/j.jde.2009.01.039zbMath1203.35079OpenAlexW2040277751MaRDI QIDQ1016466

Robert I. Mclachlan, Xing-you Zhang

Publication date: 5 May 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.01.039




Related Items (max. 100)

On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regionsWell-posedness and persistence properties for two-component higher order Camassa-Holm systems with fractional inertia operatorWell-posedness and peakons for a higher-order \(\mu\)-Camassa-Holm equationLocal well-posedness of the EPDiff equation: a surveyNon-uniform dependence on initial data for the periodic modified Camassa-Holm equationOn the Cauchy problem for a higher-order \(\mu\)-Camassa-Holm equationA model containing both the Camassa-Holm and Degasperis-Procesi equationsOrbital stability of pseudo-peakons for the fifth-order Camassa-Holm type equationGlobal existence for the higher-order Camassa-Holm shallow water equationWell-posedness and blow-up phenomena for a higher order shallow water equationInvariants-preserving integration of the modified Camassa-Holm equationContinuity properties of the data-to-solution map for the two-component higher order Camassa-Holm systemThe effect of a noise on the stochastic modified Camassa–Holm equationWave-breaking criterion and global solution for a generalized periodic coupled Camassa-Holm systemWell-posedness of the modified Camassa-Holm equation in Besov spacesNon-uniform dependence on initial data for the two-component fractional shallow water wave systemThe local well-posedness and existence of weak solutions for a generalized Camassa-Holm equationGlobal well-posedness for the two-component Camassa–Holm equation with fractional dissipationNoise effect in a stochastic generalized Camassa-Holm equationA view of the peakon world through the lens of approximation theoryThe local well-posedness and global solution for a modified periodic two-component Camassa-Holm systemGeodesic completeness for Sobolev \(H^{s}\)-metrics on the diffeomorphism group of the circleAnalytical properties for the fifth-order b-family Novikov modelA wave breaking criterion for a modified periodic two-component Camassa-Holm system



Cites Work


This page was built for publication: Well-posedness of modified Camassa-Holm equations