scholarly journals On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping

2007 ◽  
Vol 135 (05) ◽  
pp. 1515-1523 ◽  
Author(s):  
F. Linares ◽  
A. F. Pazoto
Keyword(s):  
Exponential Decay ◽  
Vries Equation ◽  
De Vries ◽  
Localized Damping

scholarly journals Stabilization of the Korteweg-de Vries equation with localized damping

2002 ◽  
Vol 60 (1) ◽  
pp. 111-129 ◽  
Author(s):  
G. Perla Menzala ◽  
C. F. Vasconcellos ◽  
E. Zuazua
Keyword(s):  
Vries Equation ◽  
De Vries ◽  
Localized Damping

Integration of the nonlinear modified Korteweg-de Vries equation with a loaded term

2020 ◽  
Vol 2020 (2) ◽  
pp. 85-98
Author(s):  
A.B. Khasanov ◽  
T.J. Allanazarova
Keyword(s):  
Vries Equation ◽  
De Vries ◽  
Loaded Term

Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One

2020 ◽  
Author(s):  
Giuseppe Maria Coclite ◽  
Lorenzo di Ruvo
Keyword(s):  
A Priori Estimates ◽  
Vries Equation ◽  
A Priori ◽  
Diffusion Parameter ◽  
Priori Estimates ◽  
De Vries ◽  
Wall Interactions

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.

scholarly journals A flux reconstruction method for the Korteweg-de Vries equation

2021 ◽  
Vol 1978 (1) ◽  
pp. 012031
Author(s):  
Ningbo Guo ◽  
Yaming Chen ◽  
Xiaogang Deng
Keyword(s):  
Vries Equation ◽  
Flux Reconstruction ◽  
Reconstruction Method ◽  
De Vries
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