Classical solutions to a multidimensional free boundary problem arising in combustion theory

DOI10.1080/03605309408821036zbMath0810.35156OpenAlexW2025955279MaRDI QIDQ4299397

Roberto Gianni, Daniele Andreucci

Publication date: 22 August 1994

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309408821036

zbMATH Keywords

interface conditionsmoving frontanalysis of classical solutionsparabolic two-phase free boundary problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Combustion (80A25) Free boundary problems for PDEs (35R35)

Related Items (8)

ON EXISTENCE AND UNIQUENESS IN A FREE BOUNDARY PROBLEM FROM COMBUSTION ⋮ Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem ⋮ A free boundary problem arising in flame propagation. ⋮ Local in time solvability of a nonstandard free boundary problem in stratigraphy: a Lagrangian approach ⋮ Free boundary problem for quasilinear parabolic equation with fixed angle of contact to a boundary ⋮ Smooth solutions to a class of free boundary parabolic problems ⋮ Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology ⋮ Uniqueness of solution to a free boundary problem from combustion

Cites Work

• On a free-boundary problem for Burgers equation: The large-time behaviour
• ON THE CLASSICAL SOLUTION OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS
• On a free-boundary problem arising in the study of flame propagation
• Stability of travelling waves with interface conditions

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