A free boundary problem stemmed from combustion theory. I: Existence, uniqueness and regularity results.

DOI10.1016/S0022-247X(02)00271-8zbMath1037.35105MaRDI QIDQ1856869

Luca Lorenzi

Publication date: 11 February 2003

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

zbMATH Keywords

linearizationplanar travelling waveanalytic semigroupsinterpolation spacesregularity propertiesfully nonlinear equationsSchauder type estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Combustion (80A25) Free boundary problems for PDEs (35R35)

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. II: Stability, instability and bifurcation results. ⋮ Stability in a two-dimensional free boundary combustion model

Cites Work

• Regularity and analyticity in a two-dimensional combustion model.
• 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. II: Stability, instability and bifurcation results.
• Nonlinear stability analysis of singular travelling waves in combustion— a one-phase problem
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• 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
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