Blow-up phenomena for a family of Burgers-like equations

DOI10.1016/j.jmaa.2009.10.074zbMath1184.35076OpenAlexW2078542466MaRDI QIDQ847727

Weisheng Niu, Xiaojuan Chai, Xiaotong Sun

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.074

zbMATH Keywords

blow-up ratewave breakingDegasperis-Procesi equationstress multiplier

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Cites Work

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• On the well-posedness of the Degasperis-Procesi equation
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Global existence for a new periodic integrable equation.
• On the Cauchy problem for an integrable equation with peakon solutions
• Traveling wave solutions of the Degasperis-Procesi equation
• Stability of the Camassa-Holm solitons
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Existence of permanent and breaking waves for a shallow water equation: a geometric approach
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Infinite propagation speed for the Degasperis-Procesi equation
• On the scattering problem for the Camassa-Holm equation
• Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation
• Commutator estimates and the euler and navier-stokes equations
• A shallow water equation on the circle
• Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
• An integrable shallow water equation with peaked solitons
• A Note on the Degasperis-Procesi Equation