16 citations · 43 across the 22 of their papers we have counts for
5 papers · 2 filters
Nonlinear enhanced dissipation in viscous Burgers type equations II
Tej-Eddine Ghoul, Nader Masmoudi, Eliot Pacherie
In this follow up paper, we focus on the viscous Burgers equation. There, using the Hopf-Cole transformation, we compute the long time behavior of solutions for some classes of inf…
Nonlinear enhanced dissipation in viscous Burgers type equations
Tej-Eddine Ghoul, Nader Masmoudi, Eliot Pacherie
We construct a class of infinite mass functions for which solutions of the viscous Burgers equation decay at a better rate than solution of the heat equation for initial data in th…
Localisation of perturbations of a constant state in a traffic flow model
Tej-Eddine Ghoul, Nader Masmoudi, Eliot Pacherie
We consider, in the Aw-Rascle-Zhang traffic flow model, the problem of the asymptotic stability of constant flows. By using a perturbative approach, we show the stability in a larg…
Non-self similar blowup solutions to the higher dimensional Yang-Mills heat flows
A. Bensouilah, G. K. Duong, T. E. Ghoul
In this paper, we consider the Yang-Mills heat flow on with . Under a certain symmetry preserved by the flow, the Yang-Mills equation can be re…
Collapsing-ring blowup solutions for the Keller-Segel system in three dimensions and higher
Charles Collot, Tej-Eddine Ghoul, Nader Masmoudi +1
We consider the parabolic-elliptic Keller-Segel system in three dimensions and higher, corresponding to the mass supercritical case. We construct rigorously a solution which blows…