Global weak solutions for a generalized Novikov equation

DOI10.1007/S00605-017-1131-1zbMath1407.35063OpenAlexW2766669235MaRDI QIDQ1712585

Zhaoyang Yin, Rudong Zheng

Publication date: 22 January 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1131-1

zbMATH Keywords

vanishing viscosity methodviscous approximate solutions

Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30)

Related Items (2)

Wave-breaking phenomena and persistence property for a weakly dissipative shallow water equation ⋮ Wave breaking and solitary wave solutions for a generalized Novikov equation

Cites Work

• Unnamed Item
• The Cauchy problem for the integrable Novikov equation
• The Cauchy problem for a generalized Novikov equation
• Analyticity of periodic traveling free surface water waves with vorticity
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• The trajectories of particles in Stokes waves
• Global conservative solutions of the Camassa-Holm equation
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Wave breaking for nonlinear nonlocal shallow water equations
• Stokes waves
• Global weak solutions for a shallow water equation
• A few remarks on the Camassa-Holm equation.
• Existence of permanent and breaking waves for a shallow water equation: a geometric approach
• Particle trajectories in extreme Stokes waves over infinite depth
• On the weak solutions to a shallow water equation
• On the scattering problem for the Camassa-Holm equation
• A note on the Cauchy problem of the Novikov equation
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global weak solutions for the Novikov equation
• Particle trajectories in extreme Stokes waves
• Inverse scattering transform for the Camassa–Holm equation
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Integrable peakon equations with cubic nonlinearity
• Long-time Asymptotics for the Camassa–Holm Equation
• Generalizations of the Camassa–Holm equation
• Global weak solutions for a shallow water equation
• A shallow water equation on the circle
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Well-posedness and global existence for the Novikov equation
• Particle trajectories in solitary water waves
• The Cauchy problem for the Novikov equation

This page was built for publication: Global weak solutions for a generalized Novikov equation