Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient

Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient

We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and show that the temporal dead-core rate is non-self-similar. The proof is based on the standard compactness arguments with the uniqueness of the self-similar solutions and the precise estimates o...

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Main Authors: Liping Zhu, Zhengce Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/927631
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spelling doaj-2a8b22a56f5f4177981ef412e2e48fc12020-11-25T00:16:52ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/927631927631Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent CoefficientLiping Zhu0Zhengce Zhang1College of Science, Xi’an University of Architecture & Technology, Xi’an 710054, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaWe consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and show that the temporal dead-core rate is non-self-similar. The proof is based on the standard compactness arguments with the uniqueness of the self-similar solutions and the precise estimates on the single-point final dead-core profile.http://dx.doi.org/10.1155/2014/927631
collection DOAJ
language English
format Article
sources DOAJ
author Liping Zhu
Zhengce Zhang
spellingShingle Liping Zhu
Zhengce Zhang
Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient
Abstract and Applied Analysis
author_facet Liping Zhu
Zhengce Zhang
author_sort Liping Zhu
title Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient
title_short Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient
title_full Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient
title_fullStr Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient
title_full_unstemmed Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient
title_sort non-self-similar dead-core rate for the fast diffusion equation with dependent coefficient
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and show that the temporal dead-core rate is non-self-similar. The proof is based on the standard compactness arguments with the uniqueness of the self-similar solutions and the precise estimates on the single-point final dead-core profile.
url http://dx.doi.org/10.1155/2014/927631
work_keys_str_mv AT lipingzhu nonselfsimilardeadcorerateforthefastdiffusionequationwithdependentcoefficient
AT zhengcezhang nonselfsimilardeadcorerateforthefastdiffusionequationwithdependentcoefficient
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