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We deal with symmetry properties for solutions of nonlocal equations of the type (âˆ’âˆ†) s v = f (v) in R n , where s âˆˆ (0, 1) and the operator (âˆ’âˆ†) s is the so-called fractional Laplacian. The study ofâ€¦ (More)

We numerically study the existence of travelling breathers in KleinGordon chains, which consist of one-dimensional networks of nonlinear oscillators in an anharmonic on-site potential, linearlyâ€¦ (More)

- AndrÃ© Bories, Yannick Sire, T. Colin
- Water science and technology : a journal of theâ€¦
- 2005

During treatment of winery and distillery wastewater by natural evaporation in ponds, formation of malodorous compounds induces harmful olfactory effects. In this work, we studied the origin ofâ€¦ (More)

We prove the existence of a traveling wave solution for a boundary reaction diffusion equation when the reaction term is the combustion nonlinearity with ignition temperature. A key role in the proofâ€¦ (More)

The goal of this paper is to investigate some rigidity properties of stable solutions of elliptic equations set on manifolds with boundary. We provide several types of results, according to theâ€¦ (More)

We consider nonlinear diffusive evolution equations posed on bounded space domains, governed by fractional Laplace-type operators, and involving porous medium type nonlinearities. We establishâ€¦ (More)

- AndrÃ© Bories, Jean-Michel Guillot, +4 authors J. Le Roux
- Water research
- 2007

The effect of the addition of nitrate to winery wastewaters to control the formation of VFA in order to prevent odours during storage and treatment was studied in batch bioreactors at differentâ€¦ (More)

- Yannick Sire
- 2005

Klein-Gordon chains are one-dimensional lattices of nonlinear oscillators in an anharmonic on-site potential, linearly coupled with their first neighbours. In this paper, we study the existence inâ€¦ (More)

- FranÃ§ois Hamel, Yannick Sire
- SIAM J. Math. Analysis
- 2010

This paper is devoted to the study of some qualitative and quantitative aspects of nonlinear propagation phenomena in diffusive media. More precisely, we consider the case a reaction-diffusionâ€¦ (More)

{ âˆ’div (a(x, |âˆ‡u|)âˆ‡u) + g(x, u) = 0 on Rn Ã— (0, +âˆž) âˆ’a(x, |âˆ‡u|)ux = f(u) on Rn Ã— {0} under some natural assumptions on the diffusion coefficient a(x, |âˆ‡u|) and the nonlinearities f and g. Here, u =â€¦ (More)