35 citations · 91 across the 17 of their papers we have counts for
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math.AP2006
Instabilities in Zakharov Equations for Laser Propagation in a Plasma
Thierry Colin, Guy Metivier
F.Linares, G.Ponce, J-C.Saut have proved that a non-fully dispersive Zakharov system arising in the study of Laser-plasma interaction, is locally well posed in the whole space, for…
math.AP2006
Remarks on the Well-Posedness of the Nonlinear Cauchy Problem
Guy Metivier
We show that hyperbolicity is a necessary condition for the well posedness of the noncharacteristic Cauchy problem for nonlinear partial differential equations. We give conditions…
math.AP2006★ 35 cited
Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations
Bresch Didier, Guy Metivier
This paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed t…