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http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11310| Title: | Asymptotic behavior of solution of Whitham–Broer–Kaup type equations with negative dispersion |
| Authors: | Kumar, Rajesh |
| Keywords: | Mathematics WBK equation Dispersive inequality Asymptotic behavior |
| Issue Date: | Oct-2021 |
| Publisher: | De Gruyter |
| Abstract: | In this work, we discuss the long time behavior of solutions of the Whitham–Broer–Kaup system with Lipschitz nonlinearity and negative dispersion term. We prove the global well-posedness when α+β2<0 as well as the convergence to 0 of small solutions at rate O(t−1/2) . |
| URI: | https://www.degruyter.com/document/doi/10.1515/jaa-2021-2066/html?lang=en http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11310 |
| Appears in Collections: | Department of Mathematics |
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