Ill-posedness of the Cauchy problem for the \(\mu\)-Camassa-Holm-type equations
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Publication:6060261
DOI10.1007/s00028-023-00913-yzbMath1526.35305MaRDI QIDQ6060261
Kexin Yan, Unnamed Author, Ying Fu
Publication date: 3 November 2023
Published in: Journal of Evolution Equations (Search for Journal in Brave)
well-posednessill-posedness\(\mu\)-Camassa-Holm equationmodified \(\mu\)-Camassa-Holm equationpeakonsnorm-inflation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Ill-posed problems for PDEs (35R25)
Cites Work
- Unnamed Item
- Ill-posedness for the \(b\)-family of equations
- Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation
- On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
- Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Ill-posedness of the Navier-Stokes equations in a critical space in 3D
- Non-uniqueness for the Fokas-Olver-Rosenau-Qiao equation
- Stability of the \(\mu \)-Camassa-Holm peakons
- Stability of periodic peakons for the modified \(\mu \)-Camassa-Holm equation
- Construction of 2-peakon solutions and nonuniqueness for a generalized mCH equation
- Nonuniqueness for the \(ab\)-family of equations with peakon travelling waves on the circle
- Non-uniqueness for the ab-family of equations
- Construction of peakon-antipeakon solutions and ill-posedness for the b-family of equations
- Well-posedness, wave breaking and peakons for a modified \({\mu}\)-Camassa-Holm equation
- Norm Inflation and Ill-Posedness for the Degasperis-Procesi Equation
- Dynamics of Director Fields
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Construction of 2-Peakon Solutions and Ill-Posedness for the Novikov Equation
- An integrable equation governing short waves in a long-wave model
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