On the Blow-Up of Solutions of a Periodic Shallow Water Equation

2000/06/01 by Adrian Constantin, A. Constantin · 6 citations
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · doi:10.1007/s003329910017

openalex publication_date 2000/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23

Citations

• Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
• Wave breaking for nonlinear nonlocal shallow water equations

Cited by

• The Cauchy problem for the shallow water typ equations in low regularity spaces on the circle
• Stability of solitary waves of a generalized two-component Camassa-Holm system
• The Cauchy problem for the integrable RZQ equation
• Analysis on a generalized two-component Novikov system
• Existence and uniqueness of global weak solutions to a generalized Camassa-Holm equation
• Non-uniform continuity of periodic Holm-Staley b-family of equations