Critical initial conditions for thermal ignition

DOI10.1016/0895-7177(93)90164-TzbMath0792.35098MaRDI QIDQ1324244

Graeme C. Wake, B. F. Gray

Publication date: 24 May 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

basins of attractionthermal ignitionnonlinear (Arrhenius) heat generation term

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (4)

An approximate model for the ignition of reactive materials by a hot spot with reactant depletion. ⋮ The effects of heat exchange and fluid production on the ignition of a porous solid ⋮ Collapsing heat waves ⋮ The existence of steady states to a combustion model with internal heating

Cites Work

• Disjoint bifurcation diagrams in combustion systems
• Critical initial conditions for spatially-distributed thermal explosions
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}

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