Global existence of a classical solution for a large class of free boundary problems in one space dimension

DOI10.1007/BF01261178zbMath0836.35163MaRDI QIDQ1895856

Roberto Gianni

Publication date: 29 April 1996

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

global existence theoremparabolicity and growth assumptions

Mathematics Subject Classification ID

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

Related Items (8)

Continuous dependence on the constitutive functions for a class of problems describing fluid flow in porous media ⋮ Short-time existence for a general backward-forward parabolic system arising from mean-field games ⋮ Policy iteration method for time-dependent mean field games systems with non-separable Hamiltonians ⋮ Unnamed Item ⋮ Nonlinear processes of injection of liquids through porous materials ⋮ Phase change of a two-component liquid-liquid dispersion ⋮ Existence and uniqueness of a classical solution for the coupled heat and mass transfer during the freezing of high-water content materials ⋮ Non stationary channel flow of a Herschel-Bulkley fluid

Cites Work

• Unnamed Item
• Liquid Flow in Partially Saturated Porous Media
• New results on some classical parabolic free-boundary problems
• An elliptic-parabolic problem in combustion theory: Convergence to travelling waves
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
• Theory of Laminar Flames

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