ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KdV-BURGERS EQUATION

Fukuda, Ikki

Hokkaido University Preprint Series in Mathematics, 2017, 1105, 1-20

Permalink : https://doi.org/10.14943/80378

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Asymptotic behavior of solutions to the generalized KdV-Burgers equation	pdf	125 KB	879

アクセス権	open access
DOI	https://doi.org/10.14943/80378
URI	https://hdl.handle.net/2115/67302
タイトル	ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KdV-BURGERS EQUATION
著者	著者名 Fukuda, Ikki 福田, 一貴
言語	英語
キーワード	Korteweg-de Vries-Burgers equation
	asymptotic behavior
	second asymptotic proﬁle
発行日	2017-10-13
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1105
ページ	1-20
ページ数	20p
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.
資源タイプ	紀要論文
出版タイプ	Version of Record