Well-posedness of the two-component Fornberg-Whitham system in Besov spaces
DOI10.1007/s44007-024-00103-3zbMATH Open1542.35311MaRDI QIDQ6564018
Publication date: 28 June 2024
Published in: La Matematica (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Solitary waves for incompressible inviscid fluids (76B25) Analyticity in context of PDEs (35A20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Bifurcations in context of PDEs (35B32) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
- Fourier Analysis and Nonlinear Partial Differential Equations
- A Note on the Local Well-Posedness for the Whitham 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
- Rigorous derivation of the Whitham equations from the water waves equations in the shallow water regime
- Variational methods and applications to water waves
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