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Identifier to cite or link to this item: https://hdl.handle.net/10086/15145

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Title
Remarks on Third-Order ODEs Relevant to the Kuramoto–Sivashinsky Equation
Creator
Creator Name
Ishimura, Naoyuki Ishimura, Naoyuki
石村, 直之 石村, 直之
Affiliation
Affiliation Name
Hitotsubashi University
Rights
Copyright (c) 2002 Elsevier Science (USA). The definitive version is published in Journal of Differential Equations, Volume 178, Issue 2, 20 January 2002, DOI 10.1006/jdeq.2001.4018.
Key Word
Kuramoto–Sivashinsky equation
third-order ordinary differential equation
blowing up solutions
Abstract
We are interested in the third-order ordinary differential equations (ODEs) which are related to the Kuramoto–Sivashinsky equation. So-called steady solutions of the Kuramoto–Sivashinsky equation are known to admit several types; for example, bounded global solutions or periodic solutions. We show that, in addition to these, there exist solutions which blow up on bounded intervals. Moreover, for certain classes of these ODEs, the nonexistence of nontrivial bounded entire solutions is
Publisher
Elsevier Science
Issued Date
2002-01
Language
English(eng)
Resource Type
journal article
Version Type
AM
Is Version OfRelation -
Related Identifier
DOI
  10.1006/jdeq.2001.4018
ISSN
0022-0396
NCID
AA00696680
Source Title
Journal of differential equations
Volume Number
178
Issue Number
2
Page Start
466
Page End
477
Appears in Collections
010a Journal Articles　=　雑誌掲載論文
URL
https://hdl.handle.net/10086/15145