A stability analysis for a fully nonlinear parabolic problem in detonation theory

DOI10.1080/00036819508840331zbMath0836.34063OpenAlexW1975511629WikidataQ58243251 ScholiaQ58243251MaRDI QIDQ4854525

Claude-Michel Brauner, Claudine Schmidt-Lainé, Stéphane Gerbi

Publication date: 26 March 1996

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819508840331

zbMATH Keywords

stabilityBanach spaceglobal bifurcationsemilinear parabolic equationsabstract equationZeldovich-von-Neumann-Doering square wave

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Nonlinear differential equations in abstract spaces (34G20) Stability theory of functional-differential equations (34K20)

Cites Work

• Equations d'évolution abstraites non linéaires de type parabolique
• On the stability of waves of nonlinear parabolic systems
• The stable, center-stable, center, center-unstable, unstable manifolds
• Bifurcation from simple eigenvalues
• Nonlinear stability analysis of singular travelling waves in combustion— a one-phase problem
• A stability analysis for semilinear Neumann problems with concave non-linearities
• A bifurcation problem for a nonlinear partial differential equation of parabolic type^†