56 citations · 298 across the 34 of their papers we have counts for
9 papers · 2 filters
Competition in periodic media: II -- Segregative limit of pulsating fronts and "Unity is not Strength"-type result
Léo Girardin, Grégoire Nadin
This paper is concerned with the limit, as the interspecific competition rate goes to infinity, of pulsating front solutions in space-periodic media for a bistable two-species comp…
The Effect of the Schwarz Rearrangement on the Periodic Principal Eigenvalue of a Nonsymmetric Operator
Grégoire Nadin
This paper is concerned with the periodic principal eigenvalue associated with the operator , (1) where …
How does the spreading speed associated with the Fisher-KPP equation depend on random stationary diffusion and reaction terms?
Grégoire Nadin
We consider one-dimensional reaction-diffusion equations of Fisher-KPP type with random stationary ergodic coefficients. A classical result of Freidlin and Gartner [16] yields that…
Traveling fronts in space-time periodic media
Grégoire Nadin
This paper is concerned with the existence of pulsating traveling fronts for the equation: , (…
Some dependence results between the spreading speed and the coefficients of the space--time periodic Fisher--KPP equation
Grégoire Nadin
We investigate in this paper the dependence relation between the space-time periodic coefficients and of the reaction-diffusion equation $\partial_t u - \nabla \cdot (A(…
Large scale asymptotics of velocity-jump processes and non-local Hamilton-Jacobi equations
Emeric Bouin, Vincent Calvez, Emmanuel Grenier +1
We investigate a simple velocity jump process in the regime of large deviation asymptotics. New velocities are taken randomly at a constant, large, rate from a Gaussian distributio…