10 citations · 17 across the 4 of their papers we have counts for
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Improved existence time for the Whitham equation and a Whitham-Boussinesq system
Didier Pilod, Sigmund Selberg, Nadia Skoglund Taki +1
In this paper, we investigate the time of existence of the solutions to two full dispersion models derived from the water waves equations in the shallow water regime: the Whitham e…
On the fractional Schödinger equation with variable coefficients
C. E. Kenig, D. Pilod, G. Ponce +1
We study the initial value problem (IVP) associated to the semi-linear fractional Schödinger equation with variable coefficients. We deduce several properties of the anisotropic fr…
Dynamics of the collision of two nearly equal solitary waves for the Zakharov-Kuznetsov equation
Didier Pilod, Frédéric Valet
We study the dynamics of the collision of two solitary waves for the Zakharov-Kuznetsov equation in dimension and . We describe the evolution of the solution behaving as a s…
Asymptotic stability of a finite sum of solitary waves for the Zakharov-Kuznetsov equation
Didier Pilod, Frédéric Valet
We prove the asymptotic stability of a finite sum of well-ordered solitary waves for the Zakharov-Kuznetsov equation in dimensions two and three. Moreover, we derive a qualitative…