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Networks and Heterogeneous Media
Article . 2012 . Peer-reviewed
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Networks and Heterogeneous Media
Article
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arXiv.org e-Print Archive
Preprint . 2010
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https://dx.doi.org/10.48550/ar...
Article . 2010
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Article . 2012
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https://dx.doi.org/10.3934/nhm...
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https://dx.doi.org/10.3934/nhm...
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Self-similar solutions in a sector for a quasilinear parabolic equation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2012Embargo end date: 01 Jan 2010 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Networks & Heterogeneous Media, volume 7, pages 857-879 (issn: 1556-181X, Copyright policy )
Authors: Bendong Lou;

doi: 10.3934/nhm.2012.7.857 , 10.48550/arxiv.1008.3626

arXiv: 1008.3626

Self-similar solutions in a sector for a quasilinear parabolic equation

Abstract

We study a two-point free boundary problem in a sector for a quasilinear parabolic equation. The boundary conditions are assumed to be spatially and temporally "self-similar" in a special way. We prove the existence, uniqueness and asymptotic stability of an expanding solution which is self-similar at discrete times. We also study the existence and uniqueness of a shrinking solution which is self-similar at discrete times.

23 pages

Related Organizations
Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, 35C06, 35C07, 35K59, 35B40, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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