Non-uniform dependence of the data-to-solution map for the two-component Fornberg-Whitham system
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Publication:2678897
DOI10.1007/s10231-022-01232-8zbMath1506.35179OpenAlexW4281958944MaRDI QIDQ2678897
Publication date: 25 January 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-022-01232-8
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton solutions (35C08)
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Cites Work
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- Bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation
- Non-uniform dependence on initial data for the CH equation on the line.
- Analyticity of periodic traveling free surface water waves with vorticity
- On an integrable two-component Camassa-Holm shallow water system
- Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces
- Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Wave breaking for nonlinear nonlocal shallow water equations
- The Hamiltonian structure of the Camassa-Holm equation
- On the ill-posedness of some canonical dispersive equations.
- Non-uniform dependence of the data-to-solution map for the Hunter-Saxton equation in Besov spaces
- Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces
- Non-uniform dependence for Euler equations in Besov spaces
- Nonuniform dependence on initial data for compressible gas dynamics: the periodic Cauchy problem
- Non-uniform dependence on initial data for the Camassa-Holm equation in the critical Besov space
- Ill-posedness for the Camassa-Holm and related equations in Besov spaces
- Fourier Analysis and Nonlinear Partial Differential Equations
- Non-Uniform Dependence for the Periodic CH Equation
- Commutator estimates and the euler and navier-stokes equations
- A numerical and theoretical study of certain nonlinear wave phenomena
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- An integrable shallow water equation with peaked solitons
- Nonuniform Dependence on Initial Data for Compressible Gas Dynamics: The Cauchy Problem on $\mathbb{R}^2$
- Commutator estimates
- The well-posedness, blow-up, and traveling waves for a two-component Fornberg–Whitham system
- Particle trajectories in solitary water waves
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