ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KDV-BURGERS EQUATION

Fukuda, Ikki

Osaka Journal of Mathematics, 2019, 56(4), 883-906

アクセス数:299件（2025-07-11 16:30 集計）

固定URL: https://doi.org/10.18910/73632

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タイトル	ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KDV-BURGERS EQUATION
著者	NRID 1000060882214 1000060882214 著者名 Fukuda, Ikki
抄録	We study the asymptotic behavior of global solutions to the initial value problem for the generalized KdV-Burgers equation. One can expect that the solution to this equation converges to a self-similar solution to the Burgers equation, due to earlier works related to this problem. Actually, we obtain the optimal asymptotic rate similar to those results and the second asymptotic profile for the generalized KdV-Burgers equation.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(4)
ページ	883-906
刊行年月	2019-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73632
DOI	https://doi.org/10.18910/73632
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 56, Number 4 （2019-10）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2019, 56(4), p. 883-906
DC.title	ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KDV-BURGERS EQUATION
DC.creator	Fukuda, Ikki
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2019-10
DCTERMS.abstract	We study the asymptotic behavior of global solutions to the initial value problem for the generalized KdV-Burgers equation. One can expect that the solution to this equation converges to a self-similar solution to the Burgers equation, due to earlier works related to this problem. Actually, we obtain the optimal asymptotic rate similar to those results and the second asymptotic profile for the generalized KdV-Burgers equation.
DC.identifier	10.18910/73632
DC.format	73632
citation_title	ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KDV-BURGERS EQUATION
citation_author	Fukuda, Ikki
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	4
citation_firstpage	883
citation_lastpage	906
citation_public_url	https://hdl.handle.net/11094/73632
citation_doi_detail	10.18910/73632
citation_doi	https://doi.org/10.18910/73632