Existence of a weak solution and blow-up of strong solutions for a two-component Fornberg-Whitham system

DOI10.1007/s00028-023-00941-8OpenAlexW4391718358MaRDI QIDQ6155111

No author found.

Publication date: 16 February 2024

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-023-00941-8

zbMATH Keywords

weak solutionblow-uppseudo-parabolic regularizationFornberg-Whitham system

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Cites Work

• Unnamed Item
• Wave-breaking phenomena for the nonlocal Whitham-type equations
• On the Cauchy problem for the two-component Dullin-Gottwald-Holm system
• Bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation
• On an integrable two-component Camassa-Holm shallow water system
• A type of bounded traveling wave solutions for the Fornberg-Whitham equation
• Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Wave breaking analysis for the Fornberg-Whitham equation
• Wave breaking of periodic solutions to the Fornberg-Whitham equation
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces
• Wave breaking for the Fornberg-Whitham equation
• New wave-breaking criteria for the Fornberg-Whitham equation
• Vorticity and Incompressible Flow
• Breaking Water Waves
• A Note on the Local Well-Posedness for the Whitham Equation
• Commutator estimates and the euler and navier-stokes equations
• The initial-value problem for the Korteweg-de Vries equation
• A numerical and theoretical study of certain nonlinear wave phenomena
• The well-posedness, blow-up, and traveling waves for a two-component Fornberg–Whitham system
• The Cauchy problem for a modified Euler-Poisson system in one dimension
• Existence of weak solutions in lower order Sobolev space for a Camassa–Holm-type equation
• Variational methods and applications to water waves

This page was built for publication: Existence of a weak solution and blow-up of strong solutions for a two-component Fornberg-Whitham system