Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains
Author:
Affiliation:
1. Departamento de Matemáticas; Universidad Autónoma de Madrid Campus de Cantoblanco; 28049 Madrid Spain
2. Department of Mathematics; The University of Texas at Austin; 2515 Speedway Stop C1200 Austin TX 78712-1082 USA
Publisher
Wiley
Subject
Applied Mathematics,General Mathematics
Link
http://onlinelibrary.wiley.com/wol1/doi/10.1002/cpa.21673/fullpdf
Reference68 articles.
1. Regularity properties of flows through porous media;Aronson;SIAM J. Appl. Math.,1969
2. Regularity properties of flows through porous media: A counterexample;Aronson;SIAM J. Appl. Math.,1970
3. Interfaces with a corner point in one-dimensional porous medium flow;Aronson;Comm. Pure Appl. Math.,1985
4. Large time behaviour of solutions of the porous medium equation in bounded domains;Aronson;J. Differential Equations,1981
5. Continuity of the temperature in boundary heat control problems;Athanasopoulos;Adv. Math.,2010
Cited by 30 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Global Well-Posedness and Long-Time Asymptotics of a General Nonlinear Non-local Burgers Equation;Acta Applicandae Mathematicae;2024-07-30
2. Optimal regularity and fine asymptotics for the porous medium equation in bounded domains;Journal für die reine und angewandte Mathematik (Crelles Journal);2024-03-26
3. Stability of the separable solutions for a nonlinear boundary diffusion problem;Journal de Mathématiques Pures et Appliquées;2024-03
4. A class of fractional parabolic reaction–diffusion systems with control of total mass: theory and numerics;Journal of Pseudo-Differential Operators and Applications;2024-02-26
5. A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs’ free energy for a nonlinear combustion equation;Journal of Computational and Applied Mathematics;2024-02
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
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3