A centre manifold theorem for hyperbolic PDEs

DOI10.1017/S0308210500021168zbMath0801.35086OpenAlexW2330668771MaRDI QIDQ4037705

Michael Renardy

Publication date: 16 May 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500021168

zbMATH Keywords

quasilinear hyperbolic equationscentre manifold theoremBénard problem for a viscoelastic fluid

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Second-order nonlinear hyperbolic equations (35L70)

Related Items (4)

Center manifolds and attractivity for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions ⋮ Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions ⋮ Modulating pulse solutions for quasilinear wave equations ⋮ Lyapunov–Schmidt and Centre Manifold Reduction Methods for Nonlocal PDEs Modelling Animal Aggregations

Cites Work

• Center manifolds of infinite dimensions. I: Main results and applications
• Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space
• Applications of centre manifold theory
• Pattern selection in the Bénard problem for a viscoelastic fluid
• The stable, center-stable, center, center-unstable, unstable manifolds
• Linear evolution equations of hyperbolic type. II
• C^k centre unstable manifolds

This page was built for publication: A centre manifold theorem for hyperbolic PDEs