Existence and uniqueness of solutions to a concentrated capacity problem with change of phase

DOI10.1017/S0956792500000280zbMath0734.35161OpenAlexW2130491803MaRDI QIDQ3361333

Daniele Andreucci

Publication date: 1990

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792500000280

zbMATH Keywords

existenceheat equationStefan-like problemlimiting case

Mathematics Subject Classification ID

Heat equation (35K05) Free boundary problems for PDEs (35R35)

Related Items (6)

Well-posedness of two pseudo-parabolic problems for electrical conduction in heterogeneous media ⋮ Mathematical Modeling of the Rod Phototransduction Process ⋮ Homogenization and concentrated capacity for the heat equation with non-linear variational data in reticular almost disconnected structures and applications to visual transduction ⋮ Homogenization and concentration of capacity in the rod outer segment with incisures ⋮ Existence, uniqueness and concentration for a system of PDEs involving the Laplace-Beltrami operator ⋮ Time discretization schemes for the Stefan problem in a concentrated capacity

Cites Work

• A generalized Stefan problem in several space variables
• Mixed boundary value problems for elliptic and parabolic differential equations of second order
• Existence and continuity of a weak solution to the problem of a free boundary in a concentrated capacity
• A Model Problem for Heat Conduction with a Free Boundary in a Concentrated Capacity
• Heat Transfer with a Free Boundary Moving Within a Concentrated Thermal Capacity

This page was built for publication: Existence and uniqueness of solutions to a concentrated capacity problem with change of phase