A free boundary problem stemmed from combustion theory. II: Stability, instability and bifurcation results.

DOI10.1016/S0022-247X(02)00280-9zbMath1037.35106MaRDI QIDQ1856902

Luca Lorenzi

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitylinearizationbifurcationplanar travelling waveanalytic semigroupsfully nonlinear elliptic and parabolic systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Combustion (80A25) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)

Related Items (9)

An ignition-temperature model with two free interfaces in premixed flames ⋮ Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface ⋮ On a strongly damped wave equation for the flame front ⋮ Asymptotic analysis in a gas-solid combustion model with pattern formation ⋮ Instability of free interfaces in premixed flame propagation ⋮ Instabilities in a combustion model with two free interfaces ⋮ Modeling and simulation of fingering pattern formation in a combustion model ⋮ A free boundary problem stemmed from combustion theory. I: Existence, uniqueness and regularity results. ⋮ Stability in a two-dimensional free boundary combustion model

Cites Work

• Unnamed Item
• A general approach to stability in free boundary problems
• Instabilities in a two-dimensional combustion model with free boundary
• A free boundary problem stemmed from combustion theory. I: Existence, uniqueness and regularity results.
• Bifurcation from simple eigenvalues
• On Flame Propagation Under Conditions of Stoichiometry
• On the stability of stretched flames
• Analytic semigroups and optimal regularity in parabolic problems
• A critical case of stability in a free boundary problem
• Bifurcation of nonplanar travelling waves in a free boundary problem

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