Blow-up of solutions to a periodic nonlinear dispersive rod equation
type: Item
instance of: scholarly article
title: Blow-up of solutions to a periodic nonlinear dispersive rod equation
zbMATH Open document ID: 1188.30027
author: Liangbing Jin
author: Yongming Liu
author: Yong Zhou
published in: Documenta Mathematica
publication date: 2010-05-10T00:00:00Z
full work available at URL: https://eudml.org/doc/226409
full work available at URL: 08.html
review text: Summary: In this paper, first we find an optimal constant for a convolution problem on the unit circle via the variational method. Then by using the optimal constant, we give a new and improved sufficient condition on the initial data to guarantee the corresponding strong solution to blow up in finite time. We also analyze the corresponding ordinary difference equation associated to the convolution problem and give a numerical simulation for the optimal constant.
Mathematics Subject Classification ID: 30C70
Mathematics Subject Classification ID: 37L05
Mathematics Subject Classification ID: 58E35
zbMATH DE Number: 5706086
zbMATH Keywords: convolution problem
zbMATH Keywords: rod equation
zbMATH Keywords: singularity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5706086