Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
DOI:
https://doi.org/10.37256/cm.152020502Keywords:
existence, uniqueness, stability, rosenau-korteweg-de vries-equation, korteweg-de vries equationAbstract
The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation. The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.
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Published
2020-09-29
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1.
Coclite GM, Ruvo L di. Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One. Contemp. Math. [Internet]. 2020 Sep. 29 [cited 2025 Feb. 23];1(5):365-92. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/502
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Research Article
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Copyright (c) 2020 Giuseppe Maria Coclite, Lorenzo di Ruvo
This work is licensed under a Creative Commons Attribution 4.0 International License.