An elliptic-parabolic problem in combustion theory: Convergence to travelling waves

DOI10.1016/0362-546X(91)90062-6zbMath0761.35114MaRDI QIDQ4008852

Josephus Hulshof, Danielle Hilhorst

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

degenerate parabolic problemmodel of detonation wavestheory of infiltration

Mathematics Subject Classification ID

Related Items (13)

Global existence of a classical solution for a large class of free boundary problems in one space dimension ⋮ Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem ⋮ Stability of travelling waves with interface conditions ⋮ The well-posedness of a free boundary problem for Burgers' equation ⋮ Finite difference method for multipoint nonlocal elliptic-parabolic problems ⋮ Exact solution and precise asymptotics of a Fisher–KPP type front ⋮ Cross-overs of Bramson's shift at the transition between pulled and pushed fronts ⋮ Study of a nonlinear elliptic-parabolic equation with measures as data: Existence regularity and behaviour near a singularity ⋮ A Free Boundary Focusing Problem ⋮ A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation ⋮ Convergence to travelling waves in a reaction-diffusion system arising in contaminant transport ⋮ A general approach to stability in free boundary problems ⋮ Uniqueness of solution to a free boundary problem from combustion

Cites Work

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• Quasilinear elliptic-parabolic differential equations
• Nonstationary filtration in partially saturated porous media
• One boundary-value problem for a parabolic equation with strong nonlinearities
• A new proof of the infinite differentiability of the free boundary in the Stefan problem
• Nonstationary filtration in partially saturated porous media: continuity of the free boundary
• An elliptic-parabolic free boundary problem
• Regularity Results for an Elliptic-Parabolic Free Boundary Problem
• Analyticity of the Interface of the Porous Media Equation After the Waiting Time
• An elliptic-parabolic free boundary problem: continuity of the interface
• L1 stability of travelling waves with applications to convective porous media flow
• On the stability of some solutions of the Stefan problem
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