2024-03-28T22:55:03Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/673022022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KdV-BURGERS EQUATIONFukuda, Ikki福田, 一貴open accessKorteweg-de Vries-Burgers equationasymptotic behaviorsecond asymptotic profile410We 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.Department of Mathematics, Hokkaido University2017-10-13engdepartmental bulletin paperVoRhttps://doi.org/10.14943/80378http://hdl.handle.net/2115/6730210.14943/80378Hokkaido University Preprint Series in Mathematics110520p120https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/67302/1/Asymptotic%20behavior%20of%20solutions%20to%20the%20generalized%20KdV-Burgers%20equation.pdfapplication/pdf125.26 KB2017-10-13