On second-grade fluids with vanishing viscosity
type: Item
instance of: scholarly article
title: On second-grade fluids with vanishing viscosity
zbMATH Open document ID: 1001.76003
published in: Portugaliae Mathematica. Nova Série
publication date: 2002-12-15T00:00:00Z
full work available at URL: https://eudml.org/doc/49621
review text: Summary: We consider the equation of a second-grade fluid with vanishing viscosity, also known as Camassa-Holm equation, and we prove local existence and uniqueness of solutions for smooth initial data. We also give a blow-up condition which implies that the solution is global in dimension two. Finally, we prove the convergence of solutions of second-grade fluid equation to the solution of Camassa-Holm equation as the viscosity tends to zero.
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1787282
zbMATH Keywords: second-grade fluid
zbMATH Keywords: vanishing viscosity
zbMATH Keywords: Camassa-Holm equation
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: smooth initial data
zbMATH Keywords: blow-up condition
zbMATH Keywords: convergence
author: Valentina Busuioc
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787282