56 citations · 298 across the 34 of their papers we have counts for
3 papers · 1 filter
A variational approach to reaction diffusion equations with forced speed in dimension 1
Juliette Bouhours, Gregoire Nadin
We investigate in this paper a scalar reaction diffusion equation with a nonlinear reaction term depending on x-ct. Here, c is a prescribed parameter modelling the speed of climate…
What is the optimal shape of a fin for one dimensional heat conduction?
Gilles Marck, Grégoire Nadin, Yannick Privat
This article is concerned with the shape of small devices used to control the heat flowing between a solid and a fluid phase, usually called \textsl{fin}. The temperature along a f…
Propagation in a kinetic reaction-transport equation: travelling waves and accelerating fronts
Emeric Bouin, Vincent Calvez, Grégoire Nadin
In this paper, we study the existence and stability of travelling wave solutions of a kinetic reaction-transport equation. The model describes particles moving according to a veloc…