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math.AP2023★ 1 cited
On the Benjamin and related equations
C. Klein, F. Linares, D. Pilod +1
We consider in this paper various theoretical and numerical issues on classical one dimensional models of internal waves with surface tension.They concern the Cauchy problem, inclu…
math.AP2023
Well-posedness for the extended Schrödinger-Benjamin-Ono system
Felipe Linares, Argenis Mendez, Didier Pilod
In this work we prove that the initial value problem associated to the Schrödinger-Benjamin-Ono type system \begin{equation*} \left\{ \begin{array}{ll} \mathrm{i}\partial_{t}u+ \pa…