Blowup of Smooth Solutions for an Aggregation Equation

We study the blowup criterion of smooth solutions for an inviscid aggregation equation in . By means of the losing estimates and the logarithmic Sobolev inequality, we establish an improved blowup criterion of smooth solutions.

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Bibliographic Details
Main Authors: Wenxin Yu, Yigang He
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/531046
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author Wenxin Yu
Yigang He
author_facet Wenxin Yu
Yigang He
author_sort Wenxin Yu
collection DOAJ
description We study the blowup criterion of smooth solutions for an inviscid aggregation equation in . By means of the losing estimates and the logarithmic Sobolev inequality, we establish an improved blowup criterion of smooth solutions.
format Article
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institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-c650edf7f58a4d4d95075b564cf33b822025-02-03T06:05:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/531046531046Blowup of Smooth Solutions for an Aggregation EquationWenxin Yu0Yigang He1College of Electrical and Information Engineering, Hunan University, Changsha, Hunan 410082, ChinaSchool of Electrical and Automation Engineering, Hefei University of Technology, Hefei, Anhui 230009, ChinaWe study the blowup criterion of smooth solutions for an inviscid aggregation equation in . By means of the losing estimates and the logarithmic Sobolev inequality, we establish an improved blowup criterion of smooth solutions.http://dx.doi.org/10.1155/2013/531046
spellingShingle Wenxin Yu
Yigang He
Blowup of Smooth Solutions for an Aggregation Equation
Abstract and Applied Analysis
title Blowup of Smooth Solutions for an Aggregation Equation
title_full Blowup of Smooth Solutions for an Aggregation Equation
title_fullStr Blowup of Smooth Solutions for an Aggregation Equation
title_full_unstemmed Blowup of Smooth Solutions for an Aggregation Equation
title_short Blowup of Smooth Solutions for an Aggregation Equation
title_sort blowup of smooth solutions for an aggregation equation
url http://dx.doi.org/10.1155/2013/531046
work_keys_str_mv AT wenxinyu blowupofsmoothsolutionsforanaggregationequation
AT yiganghe blowupofsmoothsolutionsforanaggregationequation