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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 modeling the speed of a climate change and we wonder whether a population will survive or not, that is, we want to determine the large-time behavior of the associated solution. This problem has been solved… (More)

In this paper we consider a bistable reaction-diffusion equation in unbounded domains and we investigate the existence of propagation phenomena, possibly partial, in some direction or, on the contrary, of blocking phenomena. We start by proving the well-posedness of the problem. Then we prove that when the domain has a decreasing cross section with respect… (More)

We are interested in the robustness of a Liouville type theorem for a reaction diffusion equation in exterior domains. (2009) proved such a result as soon as the domain satisfies some geometric properties. We investigate here whether their result holds for perturbations of the domain. We prove that as soon as our perturbation is close to the initial domain… (More)

We study the existence of generalized transition fronts for a bistable reaction diffusion equation, u t − ∆u = f (u), in a heterogeneous medium, Ω = R N \K where K is a compact set of R N , with Neumann boundary condition and t ∈ R. In the paper, Bistable traveling waves around an obstacle (2009), H. Berestycki, F. Hamel and H. Matano prove the existence of… (More)

An enzymatic activity responsible for the hydroxylation of CMP-NeuAc into CMP-N-glycolylneuraminic acid (CMP-NeuGc) was found in the cytosolic fraction after cellular fractionation of the mucosa of rat small intestine. It was maximum in the presence of NADPH or NADH, but it was reduced by 50% by addition of 1 mM EDTA. The Km value for CMP-NeuAc was 0.6… (More)

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