Conduction-convection problems with change of phase
type: Item
instance of: scholarly article
title: Conduction-convection problems with change of phase
zbMATH Open document ID: 0593.35085
DOI: 10.1016/0022-0396(86)90095-1
author: Emmanuele DiBenedetto
author: A. Friedman
published in: Journal of Differential Equations
publication date: 1986-01-01T00:00:00Z
review text: In the usual simplest formulation of free boundary problems one considers only the conduction, here a formulation is studied where also convective motions are taking into account. Two problems are studied: a ground freezing one, in which the water is subjected to Darcy's law, and a two phases stationary Stefan problem, where the motion of water is governed by the Navier-Stokes equations. Results on regularity of the solutions and of the free boundary are given in both cases.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3953408
zbMATH Keywords: free boundary problems
zbMATH Keywords: convective motions
zbMATH Keywords: Darcy's law
zbMATH Keywords: Stefan problem
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: regularity of the solutions
MaRDI profile type: Publication
full work available at URL: 0022-0396(86)90095-1
OpenAlex ID: W2039773481
cites work: Q3568481
cites work: The free boundary in the Thomas-Fermi atomic model
cites work: The steady state Stefan problem with convection
cites work: Buoyancy force reversals in vertical natural convection flows in cold water
cites work: Existence for a problem in ground freezing
cites work: Q5612424
cites work: The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
cites work: Q3150038
cites work: Q4040640
cites work: On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
cites work: Q4093734
cites work: Q4112313
cites work: Q4104303
cites work: Q4122265
cites work: Regularity in elliptic free boundary problems. I
cites work: Linear and quasilinear elliptic equations
cites work: Q5518064
cites work: Existence and nonuniqueness of rectangular solutions of the Benard problem
cites work: Buoyancy induced transport in porous media saturated with pure or saline water at low temperatures
cites work: Über die Ableitungen biharmonischer Funktionen am Rande
cites work: Q3884530
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description: scientific article; zbMATH DE number 3953408