20 citations · 42 across the 4 of their papers we have counts for
6 papers
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…
The Logarithmic Sobolev Constant of The Lamplighter
Evgeny Abakumov, Anne Beaulieu, François Blanchard +17
We give estimates on the logarithmic Sobolev constant of some finite lamplighter graphs in terms of the spectral gap of the underlying base. Also, we give examples of application.
Global existence for a system of non-linear and non-local transport equations describing the dynamics of dislocation densities
Marco Cannone, Ahmad El Hajj, Regis Monneau +1
In this paper, we study the global in time existence problem for the Groma-Balogh model describing the dynamics of dislocation densities. This model is a two-dimensional model wher…
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)$…