François Hamel's publications



Submitted or in progress


  • (with A. Zlatos) Asymptotics of speeds of combustion fronts with large drift.
  • (with N. Nadirashvili) On the level sets of solutions of elliptic problems in dimension 2.
  • (with M. Efendiev and L. Roques) Analysis of a coupled ODE-PDE system arising in forest dynamics.
  • (with J.-S. Guo) Propagation and slowdown in hostile environments.
  • (with L. Roques) Fast propagation for KPP equations with slowly decaying initial conditions.
  • (with M. Efendiev and J. Mueller) Traveling fronts for fast diffusion in heterogeneous media.
  • (with L. Roques, J. Fayard, B. Fady and E.K. Klein) Recolonisation by diffusion can generate increasing rates of spread.
  • (with Y. Sire) Spreading speeds for some reaction-diffusion equations with general initial conditions.
  • (with J.-M. Roquejoffre) Heteroclinic connections for multidimensional bistable-monostable reaction-diffusion equations.
  • (with H. Berestycki) Generalized transition waves and their properties.
  • (with N. Nadirashvili and E. Russ) Rearrangement inequalities and applications to isoperimetric problems for eigenvalues.

    • Published or forthcoming


  • (with J. Fayard and L. Roques) Spreading speeds in slowly oscillating environments, Bull. Math. Biology, to appear. (hfr.pdf)
  • (with L. Roques) Uniqueness and stability properties of monostable pulsating fronts, J. European Math. Soc., to appear. (hr3.pdf)
  • (with L. Ryzhik) Travelling waves for the thermodiffusive system with arbitrary Lewis numbers, Arch. Ration. Mech. Anal., to appear. (hr2.pdf)
  • (with H. Berestycki and N. Nadirashvili) The speed of propagation for KPP type problems. II - General domains, J. Amer. Math. Soc. 23 (2010), pp 1-34. (bhn3.pdf)
  • (with N. Nadirashvili) Extinction versus persistence in strong oscillating flows, Arch. Ration. Mech. Anal. 195 (2010), pp 205-223. (hn3.pdf)
  • (with H. Berestycki and H. Matano) Bistable travelling waves around an obstacle, Comm. Pure Appl. Math. 62 (2009), pp 729-788. (bhm1.pdf)
  • (with M. El Smaily and L. Roques) Homogenization and influence of fragmentation in a biological invasion model, Disc. Cont. Dyn. Systems A 25 (2009), pp 321-342. (ehr.pdf)
  • (with H. Berestycki and G. Nadin) Asymptotic spreading in heterogeneous diffusive media, J. Funct. Anal. 255 (2008), pp 2146-2189. (bhna1.pdf)
  • Qualitative properties of monostable pulsating fronts : exponential decay and monotonicity, J. Math. Pures Appl. 89 (2008), pp 355-399. (h8.pdf)
  • (with L. Roques) Mathematical analysis of the optimal habitat configurations for species persistence, Math. Biosciences 210 (2007), pp 34-59. (rh.pdf)
  • (with H. Berestycki) Generalized travelling waves for reaction-diffusion equations, In: Perspectives in Nonlinear Partial Differential Equations. In honor of H. Brezis, Contemp. Math. 446, Amer. Math. Soc., pp 101-123. (bh4.pdf)
  • (with N. Nadirashvili and E. Russ) Some isoperimetric problems for the principal eigenvalues of second-order elliptic operators in divergence form, C.R. Acad. Sci. Paris Ser. I 344 (2007), pp 169-174.
  • (with X. Chen, J.-S. Guo, H. Ninomiya and J.-M. Roquejoffre) Traveling waves with paraboloid like interfaces for balanced bistable dynamics, Ann. Institut H. Poincaré, Analyse Non Linéaire 24 (2007), pp 369-393. (cghnr.pdf)
  • (with H. Berestycki and L. Rossi) Liouville type results for semilinear elliptic equations in unbounded domains, Annali Mat. Pura Appl. 186 (2007), pp 469-507. (bhr.pdf)
  • (with H. Berestycki) Fronts and invasions in general domains, C.R. Acad. Sci. Paris Ser. I 343 (2006), pp 711-716.
  • (with J.-S. Guo) Front propagation for discrete periodic monostable equations, Math. Ann. 335 (2006), pp 489-525. (gh.pdf)
  • (with R. Monneau and J.-M. Roquejoffre) Asymptotic properties and classification of bistable fronts with Lipschitz level sets, Disc. Cont. Dyn. Systems A 14 (2006), pp 75-92. (hmr3.pdf)
  • (with L. Ryzhik) Non-adiabatic KPP fronts with an arbitrary Lewis number, Nonlinearity 18 (2005), pp 2881-2902. (hr.pdf)
  • (with H. Berestycki, A. Kiselev and L. Ryzhik) Quenching and propagation in KPP reaction-diffusion equations with a heat loss, Arch. Ration. Mech. Anal. 178 (2005), pp 57-80. (bhkr.pdf)
  • (with R. Monneau and J.-M. Roquejoffre) Existence and qualitative properties of multidimensional conical bistable fronts, Disc. Cont. Dyn. Systems A 13 (2005), pp 1069-1096. (hmr2.ps)
  • (with H. Berestycki and L. Roques) Analysis of the periodically fragmented environment model : I - Species persistence, J. Math. Biol. 51 (2005), pp 75-113. (bhr1.pdf)
  • (with H. Berestycki and L. Roques) Analysis of the periodically fragmented environment model : II - Biological invasions and pulsating travelling fronts, J. Math. Pures Appl. 84 (2005), pp 1101-1146. (bhr2.pdf)
  • (with H. Berestycki and N. Nadirashvili) The speed of propagation for KPP type problems. I - Periodic framework, J. European Math. Soc. 7 (2005), pp 173-213. (bhn2.pdf)
  • (with N. Nadirashvili and E. Russ) An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift, C.R. Acad. Sci. Paris Ser. I 340 (2005), pp 347-352.
  • Propagation phenomena for KPP-type equations in unbounded domains, In: Proceedings Equadiff 03, International Conference on Differential Equations, F. Dumortier, H. W. Broer, J. Mawhin, A. Vanderbauwhede, S. Verduyn Lunel eds., World Scientific Publ., Singapore, 2005, pp 789-794.
  • (with H. Berestycki) Gradient estimates for elliptic regularizations of semilinear parabolic and degenerate elliptic equations, Comm. Part. Diff. Equations 30 (2005), pp 139-156. (bh3.pdf)
  • (with H. Berestycki and N. Nadirashvili) Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena, Comm. Math. Phys. 253 (2005), pp 451-480. (bhn1.pdf)
  • (with R. Monneau and J.-M. Roquejoffre) Existence et propriétés qualitatives de fronts coniques bistables en dimension 2 d'espace, C.R. Acad. Sci. Paris Ser. I 339 (2004), pp 699-704.
  • (with H. Berestycki and L. Roques) Equations de réaction-diffusion et modèles d'invasions biologiques dans les milieux périodiques, C.R. Acad. Sci. Paris Ser. I 339 (2004), pp 549-554.
  • (with H. Berestycki and N. Nadirashvili) Propagation speed for reaction-diffusion equations in general domains, C.R. Acad. Sci. Paris Ser. I 339 (2004), pp 163-168.
  • (with R. Monneau and J.-M. Roquejoffre) Stability of conical fronts in a combustion model, Ann. Scient. Ecole Norm. Sup. 37 (2004), pp 469-506. (hmr1.ps)
  • Conical-shaped travelling fronts in some reaction-diffusion equations, In: Proc. Conference on ``Dynamic patterns in reaction-diffusion systems and the related topics'' (Kyoto 2002), Res. Inst. Math. Sci. Kyoto Univ., 2003, pp 25-39.
  • (with R. Monneau) Conical-shaped travelling fronts applied to the mathematical analysis of the shape of premixed Bunsen flames, In: Nonlinear PDE's in Condensed Matter and Reactive Flows, H. Berestycki and Y. Pomeau eds., Kluwer Academic Publ., 2002, pp 169-187. (hm3.ps)
  • (with H. Berestycki) Front propagation in periodic excitable media, Comm. Pure Appl. Math. 55 (2002), pp 949-1032. (bh2.ps)
  • (with R. Monneau) Existence and uniqueness of solutions of a conical-shaped free boundary problem in R^2. Interf. Free Boundaries 4 (2002), pp 167-210. (hm2.ps)
  • Some existence, monotonicity and uniqueness results for pulsating travelling fronts in periodic media and periodic domains, In: Proc. International Conference on "Interfaces, Pulses and Waves in Nonlinear Dissipative Systems" (Kyoto 2000), R.I.M.S. Project 2000 ``Reaction-diffusion systems: theory and applications'', Res. Inst. Math. Sci. Kyoto Univ., 2001, pp 29-42.
  • (with N. Nadirashvili) Travelling fronts and entire solutions of the Fisher-KPP equation in R^N, Arch. Ration. Mech. Anal. 157 (2001), pp 91-163. (hn2.ps)
  • (with A. Blouza and F. Coquel) Reduction of linear kinetic systems with multiple scales, Comb. Theory Model. 4 (2000), pp 339-362. (bch.ps)
  • (with H. Berestycki and R. Monneau) One-dimensional symmetry of bounded entire solutions of some elliptic equations, Duke Math. J. 103 (2000), pp 375-396. (bhm.ps)
  • (with R. Monneau) Solutions of semilinear elliptic equations in R^N with conical-shaped level sets, Comm. Part. Diff. Equations 25 (2000), pp 769-819. (hm1.ps)
  • (with H. Berestycki) Non-existence of travelling fronts solutions for some bistable reaction-diffusion equations, Adv. Diff. Equations 5 (2000), pp 723-746. (bh1.ps)
  • (with S. Omrani) Existence of multidimensional travelling fronts with a multistable nonlinearity, Adv. Diff. Equations 5 (2000), pp 557-582. (ho.ps)
  • (with A. Bonnet) Existence of non-planar solutions of a simple model of premixed Bunsen flames, SIAM J. Math. Anal. 31 (1999), pp 80-118. (abh.ps)
  • Formules min-max pour les vitesses d'ondes progressives multidimensionnelles, Ann. Fac. Sci. Toulouse 8 (1999), pp 259-280. (h3.ps)
  • (with N. Nadirashvili) Entire solutions of the KPP equation, Comm. Pure Appl. Math. 52 (1999), pp 1255-1276. (hn1.pdf ) (hn1.ps)
  • (with A. Blouza and F. Coquel) Réduction algorithmique de systèmes cinétiques raides, C.R. Acad. Sci. Paris Ser. I 327 (1998), pp 979-984.
  • (with A. Blouza and F. Coquel) Algorithmic and systematic reduction of a class of kinetic networks, Proceedings of the International Conference on Air Pollution Modelling and Simulation, APMS'98, CERMICS-INRIA (1998).
  • (with R. Monneau) Solutions d'équations elliptiques semilinéaires dans R^N ayant des courbes de niveau de forme conique, C.R. Acad. Sci. Paris Ser. I 327 (1998), pp 645-650.
  • (with N. Nadirashvili) Existence et propriétés qualitatives de solutions entières de l'équation de KPP, C.R. Acad. Sci. Paris Ser. I 327 (1998), pp 479-484.
  • Reaction-diffusion problems in cylinders with no invariance by translation, Part I: Small perturbations, Ann. Inst. H. Poincaré, Anal. Non Linéaire 14 (1997), pp 457-498. (h1.pdf)
  • Reaction-diffusion problems in cylinders with no invariance by translation, Part II: Monotone perturbations, Ann. Inst. H. Poincaré, Anal. Non Linéaire 14 (1997), pp 555-596. (h2.pdf)
  • Problèmes de réaction-diffusion sans invariance par translation dans des cylindres infinis, C.R. Acad. Sci. Paris Ser. I 321 (1995), pp 855-860.
  • (with S. Omrani) Existence de fronts progressifs pour un problème elliptique avec un terme non linéaire de type multistable, C.R. Acad. Sci. Paris Ser. I 321 (1995), pp 419-424.
  • (with H. Berestycki) Non-existence de fronts progressifs pour une équation de réaction-diffusion de type "bistable", C.R. Acad. Sci. Paris Ser. I 321 (1995), pp 287-292.

    • Others


  • (with N. Nadirashvili and E. Russ) A Faber-Krahn inequality with drift, http://fr.arxiv.org/abs/math.AP/0607585 (hnr.pdf)