20 citations · 42 across the 4 of their papers we have counts for
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Local and global well-posedness results for the Benjamin-Ono-Zakharov-Kuznetsov equation
Francis Ribaud, Stéphane Vento
We show that the initial value problem associated to the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation$$ u\_t-D\_x^αu\_{x} + u\_{xyy} = uu\_x,\quad (t,x,y)\in\R^3…
A note on the Cauchy problem for the 2D generalized Zakharov-Kuznetsov equations
Stéphane Vento, Francis Ribaud
In this note we study the generalized 2D Zakharov-Kuznetsov equations for . By an iterative method we prove the local well-posed…
Well-posedness results for the 3D Zakharov-Kuznetsov equation
Francis Ribaud, Stéphane Vento
We prove the local well-posedness of the three-dimensional Zakharov-Kuznetsov equation in the Sobolev spaces , , as well…
Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle
Luc Molinet, Francis Ribaud
We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in $ H^1(\T) $. This leads to a global well-posedness result in $ H^1(\T)$…