Wave breaking for nonlinear nonlocal shallow water equations

1998/01/01 by Adrian Constantin, Joachim Escher · 1,484 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Breaking wave #Differential Equations and Numerical Methods #Geology #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Oceanography #Physics #Shallow water equations #Wave propagation #Waves and shallow water

paper · pdf · doi:10.1007/bf02392586

published in Acta Mathematica 181(2), 229-243 (Mittag-Leffler Institute)

openalex publication_date 1998/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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• The local well-posedness, blow-up phenomena and ill-posedness of a new fifth-order Camassa-Holm type equation
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• On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
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• On the Cauchy problem for the Hunter-Saxton equation on the line
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