An application of Lévy-Caccioppoli's global inversion theorem to a boundary value problem for the Soret effect
type: Item
instance of: scholarly article
title: An application of Lévy-Caccioppoli's global inversion theorem to a boundary value problem for the Soret effect
zbMATH Open document ID: 1223.35178
author: Giovanni Cimatti
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2011-03-14T00:00:00Z
review text: A system of nonlinear elliptic equations describing concentration and temperature in a mixture of fluids is studied. By searching for ``functional solutions'', the three-dimensional problem is reduced to a nonlinear eigenvalue problem for a first-order differential equation on an interval. Existence and uniqueness of a solution to this problem is proved by employing Lévy-Caccioppoli's global inversion theorem.
reviewed by: Guy Katriel
Mathematics Subject Classification ID: 35J66
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35J57
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 58C15
zbMATH DE Number: 5865234
zbMATH Keywords: Lévy-Caccioppoli's global inversion theorem
zbMATH Keywords: Soret-Fick law
zbMATH Keywords: existence
zbMATH Keywords: uniqueness of solutions
MaRDI profile type: Publication
full work available at URL: s10231-010-0144-3
OpenAlex ID: W2083120292
cites work: Q3431230
cites work: Q4230917
cites work: Stability and Wave Motion in Porous Media
DOI: 10.1007/S10231-010-0144-3
description: scientific article; zbMATH DE number 5865234