The Cauchy problem for a two-component generalized \(\theta \)-equations

DOI10.1016/j.na.2010.04.064zbMath1195.37052OpenAlexW1976562005MaRDI QIDQ984102

Lidiao Ni

Publication date: 13 July 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.2010.04.064

zbMATH Keywords

blow-uppersistence propertiespropagation speedtwo-component \(\theta\)-equations

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) Blow-up in context of PDEs (35B44)

Related Items (8)

Blow-up and global solutions to a new integrable model with two components ⋮ A note on a modified two-component Camassa-Holm system ⋮ Blow-up, global existence and persistence properties for the coupled Camassa-Holm equations ⋮ Bifurcation of traveling wave solutions for a two-component generalized \(\theta\)-equation ⋮ Asymptotic profiles of solutions to the two-component Camassa-Holm system ⋮ Blow-up criteria of solutions to a modified two-component Camassa-Holm system ⋮ Abundant dynamical behaviors of bounded traveling wave solutions to generalized \(\theta\)-equation ⋮ The local well-posedness and global solution for a modified periodic two-component Camassa-Holm system

Cites Work

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• On a two-component Degasperis-Procesi shallow water system
• On discreteness of the Hopf equation
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• Blow up and propagation speed of solutions to the DGH equation
• Wave breaking for a shallow water equation
• A two-component generalization of the Camassa-Holm equation and its solutions
• Persistence properties and unique continuation of solutions of the Camassa-Holm equation
• A two-component generalization of the Degasperis–Procesi equation
• On Solutions to a Two-Component Generalized Camassa-Holm Equation
• An integrable shallow water equation with peaked solitons

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