Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

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

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Zhu Liping¹,Zhang Zhengce²^ORCID

Affiliation:

1. College of Science, Xi’an University of Architecture & Technology, Xi’an 710054, China

2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China

Abstract

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/927631.pdf

Reference26 articles.

1. Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient

2. Porous Medium Equation with Absorption

3. Dead-core rates for the porous medium equation with a strong absorption

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP