On the well-posedness of the Holm-Staley b-family of equations
From MaRDI portal
Publication:5231023
DOI10.1080/14029251.2016.1161261zbMath1420.35242arXiv1511.07235OpenAlexW2276309300MaRDI QIDQ5231023
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.07235
Related Items (9)
On the regularity of the solution map of the Euler-Poisson system ⋮ On the well-posedness of the inviscid SQG equation ⋮ On the well-posedness of the hyperelastic rod equation ⋮ Nowhere-uniform continuity of the data-to-solution map for the two-component Fornberg-Whitham ⋮ On the continuity of the solution map of the Euler-Poincaré equations in Besov spaces ⋮ Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces: revisited ⋮ Similarity reductions of peakon equations: the $b$-family ⋮ On the well-posedness of the inviscid 2D Boussinesq equation ⋮ On the local well-posedness of the two component \(b\)-family of equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the regularity of the solution map of the incompressible Euler equation
- The Degasperis-Procesi equation as a non-metric Euler equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- On the Cauchy problem for the periodic \(b\)-family of equations and of the non-uniform continuity of Degasperis-Procesi equation
- On geodesic exponential maps of the Virasoro group
- A shallow water equation as a geodesic flow on the Bott-Virasoro group
- Special issue on the occasion of the 50th volume
- The Cauchy problem for an integrable shallow-water equation
- Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
- Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
- Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Fourier Analysis and Nonlinear Partial Differential Equations
- Inverse scattering transform for the Degasperis–Procesi equation
- Non-Uniform Dependence for the Periodic CH Equation
- Groups of diffeomorphisms of 𝑅ⁿ and the flow of a perfect fluid
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- On the regularity of the composition of diffeomorphisms
- Nonuniform dependence for the Cauchy problem of the general b-equation
- Geometrical Methods for Equations of Hydrodynamical Type
- On the Cauchy problem for the Camassa-Holm equation
- Two-component equations modelling water waves with constant vorticity
This page was built for publication: On the well-posedness of the Holm-Staley b-family of equations
