Characteristic exponents for a viscous fluid subjected to time dependent forces
type: Item
instance of: scholarly article
title: Characteristic exponents for a viscous fluid subjected to time dependent forces
zbMATH Open document ID: 0565.76031
DOI: 10.1007/BF01258529
published in: Communications in Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: The paper considers a viscous incompressible fluid enclosed in a bounded region of \({\mathbb{R}}^ 2\) or \({\mathbb{R}}^ 3\), and subjected to time dependent forces. The upper bounds on characteristic exponents, entropy and Hausdorff dimension for a time evolution described by nonlinear partial differential equations have been obtained. The original problem is decomposed into a linear and a nonlinear part. The linear problem is handled by use of existing methods. The nonlinear problem requires suitable a priori estimates. The method is likely to be useful in the study of dissipative physical systems.
reviewed by: S. C. Rajvanshi
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 3902250
zbMATH Keywords: bounded region
zbMATH Keywords: time dependent forces
zbMATH Keywords: upper bounds on characteristic exponents, entropy and Hausdorff dimension
zbMATH Keywords: nonlinear problem
zbMATH Keywords: a priori estimates
zbMATH Keywords: dissipative physical systems
author: David Ruelle
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3902250