Bounded solutions of the nonlinear parabolic amplitude equation for plane Poiseuille flow

DOI10.1098/rspa.1985.0120zbMath0596.76060OpenAlexW2018083649MaRDI QIDQ3730225

Catherine A. Holmes

Publication date: 1985

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/37167

zbMATH Keywords

limit cyclesplane Poiseuille flowHopf bifurcationscritical valuethree-dimensional disturbancesbifurcation theorybounded solutionscentre manifold theoremnonlinear amplitude equationsmarginally unstable plane waveperturbing sidebandsPlane wave solutionsspatial quasi-periodic perturbations

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (6)

Homoclinic and heteroclinic flows in global attractor for Davey-Stewartson II equation ⋮ Hamiltonian bifurcations of the spatial structure for coupled nonlinear Schrödinger equations ⋮ Solutions of the Ginzburg-Landau Equation of Interest in Shear Flow Transition ⋮ Long time behavior of solutions of Davey-Stewartson equations ⋮ Bifurcation to traveling waves in the cubic–quintic complex Ginzburg–Landau equation ⋮ Traveling waves in the complex Ginzburg-Landau equation

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