Global Existence and Blow-Up Phenomena for the Periodic Hunter–Saxton Equation with Weak Dissipation
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Publication:2996774
DOI10.1142/S1402925111001246zbMath1215.35101OpenAlexW2039866970MaRDI QIDQ2996774
Publication date: 3 May 2011
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1402925111001246
Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Initial-boundary value problems for higher-order hyperbolic systems (35L57)
Related Items (7)
The periodic boundary value problem for the weakly dissipative \(\mu\)-Hunter-Saxton equation ⋮ Numerical investigation based on Laguerre wavelet for solving the Hunter Saxton equation ⋮ Global weak solutions for the weakly dissipative \(\mu\)-Hunter-Saxton equation ⋮ Optimal solution and optimality condition of the Hunter-Saxton equation ⋮ Global asymptotic stabilization of the Hunter-Saxton control system ⋮ On the Cauchy problem of a weakly dissipative \(\mu\)-Hunter-Saxton equation ⋮ An Efficient Numerical Solution of Nonlinear Hunter–Saxton Equation
Cites Work
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation
- Inverse scattering solutions of the hunter-saxton equation
- Blow-Up and Decay of the Solution of the Weakly Dissipative Degasperis–Procesi Equation
- Dynamics of Director Fields
- A shallow water equation on the circle
- On the geometric approach to the motion of inertial mechanical systems
- An integrable shallow water equation with peaked solitons
- On the Structure of Solutions to the Periodic Hunter--Saxton Equation
- Blow-Up Phenomena and Decay for the Periodic Degasperis-Procesi Equation with Weak Dissipation
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