Nombre de documents



Current affiliation: LMV - Université de Versailles

Article dans une revue13 documents

  • Etienne Bernard, Pierre Gabriel. Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate. Journal of Functional Analysis, Elsevier, 2017, 272 (8), pp.3455-3485. 〈10.1016/j.jfa.2017.01.009〉. 〈hal-01313817v2〉
  • Pierre Gabriel. Global stability for the prion equation with general incidence. Mathematical Biosciences and Engineering (MBE), American Institute of Mathematical Sciences, 2015, 12 (4), 〈10.3934/mbe.2015.12.789〉. 〈hal-01002824v2〉
  • Jean-Michel Coron, Pierre Gabriel, Peipei Shang. Optimization of an Amplification Protocol for Misfolded Proteins by using Relaxed Control. Journal of Mathematical Biology, Springer Verlag (Germany), 2015, 70 (1), pp.289-327. 〈10.1007/s00285-014-0768-9〉. 〈hal-00860218v2〉
  • Monique Chyba, Jean-Michel Coron, Pierre Gabriel, Alain Jacquemard, Geoffrey Patterson, et al.. Optimal Geometric Control Applied to the Protein Misfolding Cyclic Amplification Process. Acta Applicandae Mathematicae, Springer Verlag, 2015, 135 (1), pp.145-173. 〈10.1007/s10440-014-9950-8〉. 〈hal-01313871〉
  • Pierre Gabriel, Francesco Salvarani. Exponential relaxation to self-similarity for the superquadratic fragmentation equation. Applied Mathematics Letters, Elsevier, 2014, 27, pp.74-78. 〈10.1016/j.aml.2013.08.001〉. 〈hal-00860231v4〉
  • Daniel Balagué, José Cañizo, Pierre Gabriel. Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates. Kinetic and Related Models , AIMS, 2013, 6 (2), pp.219-243. 〈10.3934/krm.2013.6.219〉. 〈hal-00683148v2〉
  • Vincent Calvez, Marie Doumic-Jauffret, Pierre Gabriel. Self-similarity in a General Aggregation-Fragmentation Problem ; Application to Fitness Analysis. Journal de Mathématiques Pures et Appliquées, Elsevier, 2012, 98 (1), 〈10.1016/j.matpur.2012.01.004〉. 〈hal-00539279v2〉
  • Pierre Gabriel, Shawn P. Garbett, Vito Quaranta, Darren R. Tyson, Glenn F. Webb. The contribution of age structure to cell population responses to targeted therapeutics. Journal of Theoretical Biology, Elsevier, 2012, Vol. 311, p. 19-27. 〈10.1016/j.jtbi.2012.07.001〉. 〈hal-00649178v2〉
  • Pierre Gabriel. Long-time Asymptotics for Nonlinear Growth-fragmentation Equations. Communications in Mathematical Sciences, International Press, 2012, 10 (3), 〈10.4310/CMS.2012.v10.n3.a4〉. 〈hal-00565863v2〉
  • Stephanie Prigent, Annabelle Ballesta, Frédérique Charles, Natacha Lenuzza, Pierre Gabriel, et al.. An efficient kinetic model for assemblies of amyloid fibrils and its application to polyglutamine aggregation.. PLoS ONE, Public Library of Science, 2012, 7 (11), pp.e43273. 〈10.1371/journal.pone.0043273〉. 〈hal-00778052〉
  • Pierre Gabriel. The Shape of the Polymerization Rate in the Prion Equation. Mathematical and Computer Modelling, Elsevier, 2011, Vol. 53, Issues 7-8, p. 1451-1456. 〈10.1016/j.mcm.2010.03.032〉. 〈hal-00455390v2〉
  • Marie Doumic-Jauffret, Pierre Gabriel. Eigenelements of a General Aggregation-Fragmentation Model. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, Vol. 20, No. 5, p. 757-783. 〈10.1142/S021820251000443X〉. 〈hal-00408088v3〉
  • Pierre Gabriel, Léon Matar Tine. High-order WENO scheme for Polymerization-type equations. ESAIM: Proceedings, EDP Sciences, 2010, Vol. 30, p. 53-69. 〈10.1051/proc/2010006〉. 〈hal-00455472v2〉

Communication dans un congrès2 documents

  • Monique Chyba, Jean-Michel Coron, Pierre Gabriel, Yuriy Mileyko, Human Rezaei. Identification of the Fragmentation Role in the Amyloid Assembling Processes and Application to their Optimization. SIAM Conference on Control and its Applications, Jul 2015, Paris, France. pp.348--355, 〈10.1137/1.9781611974072.48〉. 〈hal-01313887〉
  • Vincent Calvez, Pierre Gabriel, Stéphane Gaubert. Non-linear eigenvalue problems arising from growth maximization of positive linear dynamical systems. IEEE 53rd Annual Conference on Decision and Control (CDC 2014), Dec 2014, Los Angeles, United States. pp.1600--1607, 〈〉. 〈hal-00974749〉

Pré-publication, Document de travail7 documents

  • Pierre Gabriel. Measure solutions to the conservative renewal equation. 2018. 〈hal-01500471v2〉
  • Pierre Gabriel, Hugo Martin. Steady distribution of the incremental model for bacteria proliferation. 2018. 〈hal-01742140〉
  • Vincent Bansaye, Bertrand Cloez, Pierre Gabriel. Ergodic behavior of non-conservative semigroups via generalized Doeblin's conditions. 2017. 〈hal-01617071v2〉
  • Grégory Dumont, Pierre Gabriel. The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states. 2017. 〈hal-01617088v2〉
  • Etienne Bernard, Marie Doumic, Pierre Gabriel. Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts. 2016. 〈hal-01363549v4〉
  • Vincent Calvez, Pierre Gabriel, Álvaro Mateos González. Limiting Hamilton-Jacobi equation for the large scale asymptotics of a subdiffusion jump-renewal equation.. 2016. 〈hal-01372949〉
  • Vincent Calvez, Pierre Gabriel. Optimal growth for linear processes with affine control. 2012. 〈hal-00681920〉

Thèse1 document

  • Pierre Gabriel. Équations de transport-fragmentation et applications aux maladies à prions. Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2011. Français. 〈tel-00635281〉

Cours2 documents

  • Pierre Gabriel. Measure solutions to the conservative renewal equation. Doctoral. Moka, Mauritius. 2016, pp.12. 〈cel-01499728v2〉
  • Pierre Gabriel. Équations structurées en dynamique des populations. Licence. ENS Cachan, France. 2014, pp.20. 〈cel-00918869v2〉