Exchange of stability and finite-dimensional dynamics in a bifurcation problem with marginally stable continuous spectrum

DOI10.1007/s00033-004-1099-2zbMath1063.35029OpenAlexW2028646808MaRDI QIDQ701753

Guido Schneider, Markus Kunze

Publication date: 16 December 2004

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-004-1099-2

zbMATH Keywords

nonlinear stabilityessential spectrumPitchfork bifurcation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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Galloping instability of viscous shock waves ⋮ Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD ⋮ Hopf bifurcation from fronts in the Cahn-Hilliard equation

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