44 citations · 78 across the 12 of their papers we have counts for
17 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 well-posedness for some dispersive perturbations of Burgers' equation
Luc Molinet, Didier Pilod, Stéphane Vento
We show that the Cauchy problem for a class of dispersive perturbations of Burgers' equations containing the low dispersion Benjamin-Ono equation \_t u -- D^\_x $\part…
On unconditional well-posedness for the periodic modified korteweg-de vries equation
Luc Molinet, Didier Pilod, Stéphane Vento
We prove that the modified KdV equation is unconditionally well-posed in H s (T) for s 1/3.
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…
Unconditional uniqueness for the modified Korteweg-de Vries equation on the line
Luc Molinet, Didier Pilod, Stéphane Vento
We prove that the modified Korteweg- de Vries equation (mKdV) equation is unconditionally well-posed in for . Our method of proof combines the improve…