Global attractor for the generalized hyperelastic-rod equation

DOI10.1186/s13661-014-0209-0zbMath1304.35110OpenAlexW2171252790WikidataQ59323208 ScholiaQ59323208MaRDI QIDQ481471

Weili Zeng, Zhe Sun, Yunrui Bi, Xiaobo Lu

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0209-0

zbMATH Keywords

Galerkin methodglobal solutionglobal attractorinitial boundary value problemgeneralized hyperelastic-rod equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Attractors (35B41) A priori estimates in context of PDEs (35B45)

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric finite difference schemes for the generalized hyperelastic-rod wave equation
• Blow-up of solutions to a nonlinear dispersive rod equation
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• Global conservative solutions of the generalized hyperelastic-rod wave equation
• Non-uniform dependence and well-posedness for the hyperelastic rod equation
• The attractor on viscosity Degasperis-Procesi equation
• Sharp well-posedness results for the BBM equation
• Existence of global attractors in \(L^p\) for \(m\)-Laplacian parabolic equation in \(\mathbb{R}^N\)
• Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
• Traveling wave solutions of the Degasperis-Procesi equation
• The study of global weak solutions for a generalized hyperelastic-rod wave equation
• Blow-up profile for a degenerate parabolic equation with a weighted localized term
• Solitary waves in an inhomogeneous rod composed of a general hyperelastic material
• The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in \(H^1(\mathbb R)\)
• The study on solutions to Camassa-Holm equation with weak dissipation
• Wellposedness for a parabolic-elliptic system
• Infinite propagation speed for the Degasperis-Procesi equation
• An integrable shallow water equation with peaked solitons
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• Global Conservative Solutions of the Hyperelastic Rod Equation
• Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
• Model equations for long waves in nonlinear dispersive systems
• Local well‐posedness and blow‐up criteria of solutions for a rod equation
• Blow-up phenomenon for a periodic rod equation
• Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods.

This page was built for publication: Global attractor for the generalized hyperelastic-rod equation