Francis Ribaud

activity

20062016

most citedWell-posedness results for the 3D Zakharov-Kuznetsov equation

20 citations · 42 across the 4 of their papers we have counts for

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Showing 2011Show all

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math.AP2011

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 $\partial_{t} u + Δ \partial_{x} u + u^{k} \partial_{x} u = 0$ for $k \geq 2$ . By an iterative method we prove the local well-posed…

math.AP2011★ 20 cited

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 $\partial_{t} u + Δ \partial_{x} u + u \partial_{x} u = 0$ in the Sobolev spaces $H^{s} (R^{3})$ , $s > 1$ , as well…