Generic Regularity of Conservative Solutions to Camassa--Holm Type Equations

DOI10.1137/16M1063009zbMath1368.35055OpenAlexW2741561751MaRDI QIDQ4975434

Qingtian Zhang, Ming-Jie Li

Publication date: 7 August 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1063009

zbMATH Keywords

singularitiesgeneric regularityCamassa-Holm equationsconservative weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) First-order nonlinear hyperbolic equations (35L60) Weak solutions to PDEs (35D30) Initial value problems for nonlinear first-order PDEs (35F25) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (11)

Lipschitz metric for conservative solutions of the two-component Camassa-Holm system ⋮ Well-posedness and behaviors of solutions to an integrable evolution equation ⋮ Continuous dependence on data under the Lipschitz metric for the rotation-Camassa-Holm equation ⋮ Generic regularity and Lipschitz metric for the Hunter-Saxton type equations ⋮ Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation ⋮ Formation of singularity of solution to a nonlinear shallow water equation ⋮ Generic regularity of conservative solutions to the rotational Camassa-Holm equation ⋮ The global conservative solutions for the generalized Camassa-Holm equation ⋮ Lipschitz metric for conservative solutions of the modified two-component Camassa-Holm system ⋮ Uniqueness and stability of global conservative solutions for the modified coupled Camassa–Holm system ⋮ The dynamic properties of solutions for a nonlinear shallow water equation

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