The stability of local strong solutions for a shallow water equation

DOI10.1186/1029-242X-2014-410zbMath1332.35084OpenAlexW2171046073WikidataQ59324574 ScholiaQ59324574MaRDI QIDQ257799

Hongjing Chen, Haibo Yan, Shaoyong Lai, Yang Wang

Publication date: 17 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-410

zbMATH Keywords

strong solutionsshallow water equation\(L^1\) stability

Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (4)

The local well-posedness and stability to a nonlinear generalized Degasperis-Procesi equation ⋮ The stability of solutions for the generalized Degasperis-Procesi equation with variable coefficients ⋮ Bifurcations and exact traveling wave solutions for a modified Degasperis-Procesi equation ⋮ A study on the stability of a modified Degasperis–Procesi equation

Cites Work

• Unnamed Item
• On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
• A model containing both the Camassa-Holm and Degasperis-Procesi equations
• Well-posedness and persistence properties for the Novikov equation
• Long time behaviour for a class of low-regularity solutions of the Camassa-Holm equation
• On the well-posedness of the Degasperis-Procesi equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• Global conservative solutions of the Camassa-Holm equation
• Traveling wave solutions of the Degasperis-Procesi equation
• Global weak solutions for a new periodic integrable equation with peakon solutions
• The local strong and weak solutions to a generalized Novikov equation
• The entropy weak solution to a generalized Degasperis-Procesi equation
• Infinite propagation speed for the Degasperis-Procesi equation
• On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Stability of peakons for the Degasperis-Procesi equation
• Wave Breaking and Persistence Properties for the Dispersive Rod Equation
• Multi-peakon solutions of the Degasperis–Procesi equation
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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