, Conception optimale de structures, vol.58, 2007.
Multidimensional nonlinear diffusion arising in population genetics, Adv. in Math, vol.30, pp.33-76, 1978. ,
The effect of a line with nonlocal diffusion on Fisher-KPP propagation, Math. Models Methods Appl. Sci, vol.25, pp.2519-2562, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01978576
Influence of a road on a population in an ecological niche facing climate change ,
URL : https://hal.archives-ouvertes.fr/hal-02057753
, Generalized principal eigenvalues for heterogeneous roadfield systems, Commun. Contemp. Math, p.35, 2019.
Travelling fronts in cylinders, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.9, pp.497-572, 1992. ,
, Propagation of epidemics along lines with fast diffusion
, Fisher-KPP propagation in the presence of a line: further effects, Nonlinearity, vol.26, pp.2623-2640, 2013.
, The influence of a line with fast diffusion on Fisher-KPP propagation, Journal of Mathematical Biology, vol.66, pp.743-766, 2013.
The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations, Comm. Math. Phys, vol.343, pp.207-232, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01978596
, Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion, Nonlinear Anal, vol.137, pp.171-189, 2016.
, Coupled reaction-diffusion equations on adjacent domains
Conception optimale ou identification de formes: calcul rapide de la dérivée directionnelle de la fonction coût, RAIRO Modél. Math. Anal. Numér, vol.20, pp.371-402, 1986. ,
, Advances in Design and Control, vol.22
Existence of travelling waves for a reaction-diffusion system with a line of fast diffusion, Appl. Math. Res. Express. AMRX, pp.204-252, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01137481
, Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion, Trans. Amer. Math. Soc, vol.369, pp.3221-3252, 2017.
Front propagation directed by a line of fast diffusion: large diffusion and large time asymptotics, J.Éc. polytech. Math, vol.4, pp.141-176, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01978556
, Partial differential equations, vol.19, 2010.
Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.35, pp.643-673, 2018. ,
A KPP road-field system with spatially periodic exchange terms, Nonlinear Anal, vol.128, pp.273-302, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01140521
New development in FreeFem++, J. Numer. Math, vol.20, pp.251-265, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01476313
, Shape variation and optimization, vol.28, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02094871
Perturbation theory for linear operators, 1995. ,
A diffusion model for cell polarization with interactions on the membrane, Jpn. J. Ind. Appl. Math, vol.35, pp.261-276, 2018. ,
The influence of nonlocal exchange terms on Fisher-KPP propagation driven by a line of fast diffusion, Commun. Math. Sci, vol.14, pp.535-570, 2016. ,
Symmetry breaking in a bulk-surface reaction-diffusion model for signalling networks, Nonlinearity, vol.27, pp.1805-1827, 2014. ,
Propagation speed in a strip bounded by a line with different diffusion, J. Differential Equations, vol.260, pp.5956-5986, 2016. ,
, Comparison among several planar Fisher-KPP road-field systems, Contemporary research in elliptic PDEs and related topics, vol.33, pp.481-500, 2019.
The effect on Fisher-KPP propagation in a cylinder with fast diffusion on the boundary, SIAM Journal on Mathematical Analysis, pp.4595-4624, 2017. ,