紀要論文 ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED KdV-BURGERS EQUATION

FUKUDA, IKKI

1105pp.1 - 20 , 2017-10-13 , Department of Mathematics, Hokkaido University
内容記述
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.
20p
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https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/67302/1/Asymptotic%20behavior%20of%20solutions%20to%20the%20generalized%20KdV-Burgers%20equation.pdf

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