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Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
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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.
Universal Wiser Publisher Pte. Ltd
Title: Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
Description:
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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