Global energy conservation solution for the \(N - a b c\) family of Camassa-Holm type equation
DOI10.1016/J.NONRWA.2024.104093zbMATH Open1546.35172MaRDI QIDQ6553024
Youjun Deng, Zhenhai Liu, Zai-Yun Zhang
Publication date: 11 June 2024
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
uniquenesscusp singularitycharacteristicglobal conservative weak solution\(N-abc\) family of Camassa-Holm-type equation
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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