A blow-up result for the periodic Camassa-Holm equation

2005/04/01 by Erik Wahlén · 11 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models #Camassa–Holm equation #Conservation law #Integrable system #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons

paper · doi:10.1007/s00013-004-1199-4

published in Archiv der Mathematik 84(4), 334-340 (Springer Science and Business Media LLC)

crossref issued 2005/04/01 · crossref published 2005/04/01 · crossref published-print 2005/04/01 · openalex publication_date 2005/04/01 · crossref created 2005/04/27 · openalex created_date 2016/06/24 · crossref deposited 2019/05/22 · crossref indexed 2023/08/01 · openalex updated_date 2026/07/23

Citations

• Global Weak Solutions for a Shallow Water Equation
• On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
• Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
• Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Geodesic flow on the diffeomorphism group of the circle

Cited by

• Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation
• Camassa–Holm equation [wikipedia]