Assembling a rearrangement
type: Item
instance of: scholarly article
title: Assembling a rearrangement
zbMATH Open document ID: 0619.35113
DOI: 10.1007/BF00276910
author: Giorgio Talenti
published in: Archive for Rational Mechanics and Analysis
publication date: 1987-01-01T00:00:00Z
review text: The author presents an algorithm which transforms a function u: [0,\(\ell]\to {\mathbb{R}}\) into its monotone decreasing rearrangement \(u^*\). His construction is motivated by a nice heuristical argument from the buoyant convection of a liquid with variable density. Mathematically this leads to a free boundary problem for a first order quasilinear equation.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35F99
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 4004805
zbMATH Keywords: algorithm
zbMATH Keywords: rearrangement
zbMATH Keywords: buoyant convection of a liquid
zbMATH Keywords: free boundary problem
zbMATH Keywords: first order quasilinear equation
MaRDI profile type: Publication
cites work: Rearrangements of functions and convergence in orlicz spaces
cites work: Q5566726
cites work: Rearrangements and convexity of level sets in PDE
cites work: Q3737845
full work available at URL: https://doi.org/10.1007/bf00276910
OpenAlex ID: W2077807021
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description: scientific article; zbMATH DE number 4004805