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.
Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 1:5(2020), pp. 393-420. [10.37256/cm.152020502]
Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
Coclite, Giuseppe Maria
;
2020-01-01
Abstract
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CoclitediRuvoCM.pdf
accesso aperto
Descrizione: articolo principale
Tipologia:
Versione editoriale
Licenza:
Creative commons
Dimensione
679.38 kB
Formato
Adobe PDF
|
679.38 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
