Wave breaking for the periodic weakly dissipative Dullin-Gottwald-Holm equation

DOI10.1016/j.na.2010.09.050zbMath1202.37109OpenAlexW1988247498MaRDI QIDQ611203

Lidiao Ni, Zhengguang Guo

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.050

zbMATH Keywords

wave breakingDullin-Gottwald-Holm equationoptimal constant

Mathematics Subject Classification ID

Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Solutions to PDEs in closed form (35C05)

Related Items (9)

Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation ⋮ The Cauchy problem for a generalized Dullin–Gottwald–Holm equation in Besov spaces ⋮ Orbital stability of the sum of \(N\) peakons for the Dullin-Gottwald-Holm equation ⋮ On the solutions of the Dullin-Gottwald-Holm equation in Besov spaces ⋮ On a shallow water equation perturbed in Schwartz class ⋮ EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION ⋮ Persistence property and asymptotic description for DGH equation with strong dissipation ⋮ Wave breaking phenomenon for DGH equation with strong dissipation ⋮ Local-in-space blow-up and symmetry of traveling wave solutions to a generalized two-component Dullin-Gottwald-Holm system

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