A free boundary problem arising in flame propagation.

DOI10.1016/S0022-0396(02)00195-XzbMath1040.35149OpenAlexW2092520893MaRDI QIDQ1399899

Inwon Christina Kim

Publication date: 30 July 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00195-x

zbMATH Keywords

viscosity solutionfree boundary problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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Regularity Near a Contact Point for Flame Propagation, A family of degenerate elliptic operators: maximum principle and its consequences, Nonlinear elliptic-parabolic problems, Local in time solvability of a nonstandard free boundary problem in stratigraphy: a Lagrangian approach, Nonuniqueness in a free boundary problem from combustion, Quasistatic droplets in randomly perforated domains, A Free Boundary Problem with Curvature, Hölder space solutions of free boundary problems that arise in combustion theory, A free-boundary problem for the evolution \(p\)-Laplacian equation with a combustion boundary condition

Cites Work

• Neumann problem for singular degenerate parabolic equations
• Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem
• Classical solutions to a multidimensional free boundary problem arising in combustion theory
• A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
• Smooth solutions to a class of free boundary parabolic problems
• Uniqueness of solution to a free boundary problem from combustion
• ON EXISTENCE AND UNIQUENESS IN A FREE BOUNDARY PROBLEM FROM COMBUSTION
• Theory of Laminar Flames
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