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New Results on Gevrey Well Posedness for the Schrödinger–Korteweg–De Vries System

open access: yesMathematical and Computational Applications
In this work, we prove that the initial value problem for the Schrödinger–Korteweg–de Vries (SKdV) system is locally well posed in Gevrey spaces for s>−34 and k≥0. This advancement extends recent findings regarding the well posedness of this model within
Feriel Boudersa   +2 more
doaj   +1 more source

Well-posedness of one-dimensional Korteweg models

open access: yesElectronic Journal of Differential Equations, 2006
We investigate the initial-value problem for one-dimensional compressible fluids endowed with internal capillarity. We focus on the isothermal inviscid case with variable capillarity.
Sylvie Benzoni-Gavage   +2 more
doaj  

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