Welcome
Je suis Maître de Conférences au Laboratoire d'Analyse, Topologie et Probabilité, CNRS UMR 6632.
Contact
Yannick Sire
my family name @cmi.univ-mrs.fr where 'my family name' should be replaced by 'sire'
Université Aix-Marseille
Centre de Mathématique et Informatique
Laboratoire d'Analyse, Topologie, Probabilité (LATP)
Technopole de Chateau-Gombert,
9, rue F. Joliot Curie,
13453 Marseille Cedex 13 FRANCE
Themes de recherche
Equations aux dérivées partielles, Systèmes dynamiques.Equations différentielles: bifurcations, variétés invariantes
Analyse fonctionelle et harmonique; analyse sur les variétés et sur les groupes de Lie.
Problèmes à frontières libres.
Solutions quasi-périodiques, théorie KAM.
Aspects géométriques des EDPs, géométrie conforme, géométrie différentielle, géométrie spectrale.
Inégalités fonctionnelles.
Fronts dans les systèmes de réaction-diffusion.
Opérateurs non locaux, processus de Levy.
Dynamique de réseaux non linéaires
Publications
- G. James, Y. Sire, Travelling breathers in Klein-Gordon chains,C. R. Acad. Sci. Paris, Ser. I338, 661-666 (2004)
- G. James, Y. Sire, Travelling breathers with exponentially small tails in a chain of nonlinear oscillators,Communications in Mathematical Physics 257, p. 51-85 (2005).
- Y. Sire, Travelling breathers in Klein-Gordon lattices as homoclinic orbits to p-tori, Journal of Dynamics and Differential Equations, 17, 4 p. 779-823 (2005)
- G. James, Y. Sire, Numerical computation of travelling breathers in Klein-Gordon chains, Physica D 204, p. 15-40 (2005)
- G. James, Y. Sire, Center manifold techniques for discrete and continuous reversible systems,Lecture Notes in Physics, Springer-Verlag (2007)
- R. de la Llave, E. Fontich, Y. Sire, Construction of whiskered tori via a parameterization method. Part I: Maps and flows in finite dimension, Journal of Differential Equations, 246 (2009), 3136-3213.
- R. de la Llave, E. Fontich, Y. Sire, A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional hamiltonian: announcement of results, Electronic Research Announcements, 16 (2009), 9-22.
- G. James, P. Noble, Y. Sire, Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems,Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 26, 4 (2009), 1237-1264.
- Y. Sire, E. Valdinoci, Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result, Journal of Functional Analysis, 256, 6 (2009), 1842-1864.
- G. Palatucci,Y. Sire, $\Gamma-$convergence of some super quadratic functionals with singular weights, Math. Z, 2010, Volume 266, Number 3, Pages 533-560.
- A. Mellet, J.-M. Roquejoffre, Y. Sire, Generalized fronts for one-dimensional reaction-diffusion equations , DCDS Series A, 26, 1 (2010), 303-312.
- R. Calleja, Y. Sire, Travelling waves in discrete nonlinear systems with non-nearest neighbor interactions, Nonlinearity, 22, 11 (2009), 2583-2605.
- L. Dupaigne, Y. Sire, A Liouville theorem for nonlocal elliptic equations , Symmetry for elliptic PDEs, 105Ð114, Contemp. Math., 528, Amer. Math. Soc., Providence, RI, 2010
- L. Caffarelli, J.-M. Roquejoffre, Y. Sire, Variational problems with free boundaries for the fractional laplacian, J. Eur. Math. Soc., 12 (2010),1151-1179.
- C. Mouhot, E. Russ, Y. Sire, Fractional Poincare inequalities for general measures, Journal de Maths. Pures et Appl., Volume 95, Issue 1, 2011, Pages 72-84.
- Y. Sire,E. Valdinoci, Some elliptic PDE's on Riemannian manifolds with boundary. Pacific J. Maths. 248-2 (2010), 475--492.
- F. Hamel, Y. Sire, Spreading speeds for some reaction-diffusion equations with general initial conditions, SIAM J. Math. Anal. Volume 42, Issue 6, pp. 2872-2911 (2010)
- M. Gonzalez, R. Mazzeo, Y. Sire, Singular solutions for fractional order conformal operators , J. Geom. Anal. 22 (2012), no. 3, 845-863.
- A. Farina, Y. Sire, E. Valdinoci, Stable solutions of elliptic equations on Riemanniann manifolds with euclidean coverings, Proc. Amer. Math. Soc. 140 (2012), no. 3, 927-930.
- G. Huguet, R. de la Llave, Y. Sire, Computation of whiskered invariant tori and their associated manifolds: new fast algorithms , Discrete Contin. Dyn. Syst. 32 (2012), no. 4, 1309-1353
- A. Farina, Y. Sire, E. Valdinoci, Stable solutions of elliptic equations on Riemanniann manifolds , to appear J. of Geom. Anal.
- M. Mariani, Y. Sire, A variational approach to the inviscous limit of fractional conservation laws , to appear Calc. Var. and PDE's.
- L. Caffarelli, A. Mellet, Y. Sire, Travelling waves for a boundary reaction-diffusion equation .
Adv. Math. 230 (2012), no. 2, 433-457
- Y. Sire, Existence and asymptotics of travelling waves in the
thermo-diffusive model for flame propagation in half-cylinders. Part I: Neumann boundary conditions Rev. Mat. Iberoam. 28 (2012), no. 4, 907-929.
- Y. Sire,E. Valdinoci, Density estimates for phase transitions with a trace. Interfaces Free Bound. 14 (2012) , no. 2, 153-165.
- X. Cabre, Y. Sire , Nonlinear equations for fractional Laplacians II: existence, uniqueness, and qualitative properties of solutions , to appear Trans. AMS.
- I. Gallagher, Y. Sire, Besov algebras on Lie groups with polynomial volume and related results. to appear in Studia Math.
- F. Bernicot, Y. Sire , Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure , to appear Annales de l'IHP, analyse non lineaire.
- A. Mellet, J-M. Roquejoffre, Y. Sire, Existence and asymptotics of fronts in nonlocal combustion models, to appear Commun. Maths. Sci.
E. Russ, Y. Sire, Nonlocal Poincare inequalities on Lie groups with polynomial growth and riemannian manifolds, Studia Math. 203 (2011), no. 2, 105-127.
A. Capella, J. Davila, L. Dupaigne, Y. Sire, Regularity of radial extremal solutions for some non local semilinear equations, Comm. Partial Differential Equations 36 (2011), no. 8, 1353Ð1384
T. Gallouet, Y. Sire, Some possibly degenerate elliptic problems with measure data and non linearity on the boundary, Ann. Fac. Sci. Toulouse Math. (6) 20 (2011), no. 2, 231-245