110 citations · 432 across the 36 of their papers we have counts for
44 papers
Low regularity well-posedness of nonlocal dispersive perturbations of Burgers' equation
Luc Molinet, Didier Pilod, Stéphane Vento
We consider the Cauchy problem associated to a class of dispersive perturbations of Burgers' equations, which contains the low dispersion Benjamin-Ono equation, (also known as low…
Self-similar solutions for the generalized fractional Korteweg-de Vries equation
Luc Molinet, Stéphane Vento, Fred Weissler
We consider the Cauchy problem for the generalized fractional Korteweg-de Vries equation with h…
On the well-posedness of the KP-I equation
Zihua Guo, Luc Molinet
We revisit the local well-posedness for the KP-I equation. We obtain unconditional local well-posedness in for and unconditional global well-posedn…
A note on the well-posedness in the energy space for the generalized ZK equation posed on
Luiz Gustavo Farah, Luc Molinet
In this note, we prove the local well-posedness in the energy space of the -generalized Zakharov-Kuznetsov equation posed on $ \R\times \T $ for any power non-linearity $ k\ge 2…
Refined bilinear Strichartz estimates with application to the well-posedness of periodic generalized KdV type equations
Luc Molinet, Tomoyuki Tanaka
We improve our previous result [L. Molinet and T. Tanaka, Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations, J. Funct. Anal. 283 (2022),…
On well-posedness for some Korteweg-De Vries type equations with variable coefficients
Luc Molinet, Raafat Talhouk, Ibtissame Zaiter
In this paper, KdV-type equations with time- and space-dependent coefficients are considered. Assuming that the dispersion coefficient in front of is positive and uniform…