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Current affiliation: LMV - Université de Versailles

Journal articles21 documents

  • José A. Cañizo, Pierre Gabriel, Havva Yoldaş. Spectral gap for the growth-fragmentation equation via Harris's Theorem. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2021, ⟨10.1137/20M1338654⟩. ⟨hal-02973959v2⟩
  • Bertrand Cloez, Pierre Gabriel. On an irreducibility type condition for the ergodicity of nonconservative semigroups. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2020, 358 (6), pp.733-742. ⟨10.5802/crmath.92⟩. ⟨hal-02291295v2⟩
  • Etienne Bernard, Pierre Gabriel. Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate. Journal of Evolution Equations, Springer Verlag, 2020, 20 (2), pp.375-401. ⟨10.1007/s00028-019-00526-4⟩. ⟨hal-01883140v3⟩
  • Vincent Bansaye, Bertrand Cloez, Pierre Gabriel. Ergodic behavior of non-conservative semigroups via generalized Doeblin's conditions. Acta Applicandae Mathematicae, Springer Verlag, 2020, 166 (1), pp.29-72. ⟨10.1007/s10440-019-00253-5⟩. ⟨hal-01617071v4⟩
  • Grégory Dumont, Pierre Gabriel. The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states. Nonlinearity, IOP Publishing, 2020, 33 (12), pp.6381-6420. ⟨10.1088/1361-6544/aba6d8⟩. ⟨hal-01617088v4⟩
  • Pierre Gabriel, Hugo Martin. Steady distribution of the incremental model for bacteria proliferation. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2019, Special issue on mathematical methods in systems biology, 14 (1), pp.149-171. ⟨10.3934/nhm.2019008⟩. ⟨hal-01742140⟩
  • Vincent Calvez, Pierre Gabriel, Álvaro Mateos González. Limiting Hamilton-Jacobi equation for the large scale asymptotics of a subdiffusion jump-renewal equation. Asymptotic Analysis, IOS Press, 2019, 115 (1-2), pp.63-94. ⟨10.3233/ASY-191528⟩. ⟨hal-01372949v2⟩
  • Etienne Bernard, Marie Doumic, Pierre Gabriel. Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts. Kinetic and Related Models , AIMS, 2019, 12 (3), pp.551-571. ⟨10.3934/krm.2019022⟩. ⟨hal-01363549v5⟩
  • Pierre Gabriel. Measure solutions to the conservative renewal equation. ESAIM: Proceedings and Surveys, EDP Sciences, 2018, CIMPA School on Mathematical Models in Biology and Medicine, 62, pp.68-78. ⟨10.1051/proc/201862186206⟩. ⟨hal-01500471v2⟩
  • 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-01313817v3⟩
  • 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, Control and Observation of Nonlinear Control Systems with Applications to Medicine and Space Mechanics, 135 (1), pp.145-173. ⟨10.1007/s10440-014-9950-8⟩. ⟨hal-01313871⟩
  • Pierre Gabriel. Global stability for the prion equation with general incidence. Mathematical Biosciences and Engineering, AIMS Press, 2015, Special issue dedicated to the 70th birthday of Glenn F. Webb, 12 (4), pp.789-801. ⟨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⟩
  • 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⟩
  • Pierre Gabriel. Long-time Asymptotics for Nonlinear Growth-fragmentation Equations. Communications in Mathematical Sciences, International Press, 2012, 10 (3), pp.787-820. ⟨10.4310/CMS.2012.v10.n3.a4⟩. ⟨hal-00565863v2⟩
  • 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), pp.1-27. ⟨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, 311, pp.19-27. ⟨10.1016/j.jtbi.2012.07.001⟩. ⟨hal-00649178v2⟩
  • Pierre Gabriel. The Shape of the Polymerization Rate in the Prion Equation. Mathematical and Computer Modelling, Elsevier, 2011, Mathematical Methods and Modelling of Biophysical Phenomena, 53 (7-8), pp.1451-1456. ⟨10.1016/j.mcm.2010.03.032⟩. ⟨hal-00455390v2⟩
  • Pierre Gabriel, Léon Matar Tine. High-order WENO scheme for Polymerization-type equations. ESAIM: Proceedings and Surveys, EDP Sciences, 2010, CEMRACS 2009: Mathematical Modelling in Medicine, 30, pp.53-69. ⟨10.1051/proc/2010006⟩. ⟨hal-00455472v2⟩
  • Marie Doumic-Jauffret, Pierre Gabriel. Eigenelements of a General Aggregation-Fragmentation Model. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, 20 (5), pp.757-783. ⟨10.1142/S021820251000443X⟩. ⟨hal-00408088v3⟩

Conference papers2 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, ⟨10.1109/CDC.2014.7039628⟩. ⟨hal-00974749⟩

Preprints, Working Papers, ...5 documents

  • Pierre Gabriel, Hugo Martin. Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation. 2022. ⟨hal-02290410v3⟩
  • Vincent Bansaye, Bertrand Cloez, Pierre Gabriel, Aline Marguet. A Non-Conservative Harris Ergodic Theorem. 2022. ⟨hal-02062882v3⟩
  • Bertrand Cloez, Pierre Gabriel. Fast, slow convergence, and concentration in the house of cards replicator-mutator model. 2022. ⟨hal-03608758⟩
  • Matthieu Alfaro, Pierre Gabriel, Otared Kavian. Confining integro-differential equations originating from evolutionary biology: ground states and long time dynamics. 2021. ⟨hal-03376957⟩
  • Vincent Calvez, Pierre Gabriel. Optimal growth for linear processes with affine control. 2012. ⟨hal-00681920⟩

Theses1 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⟩

Habilitation à diriger des recherches1 document

  • Pierre Gabriel. Asymptotic analysis of non-local equations arising in biology. Mathematics [math]. Université Paris-Saclay, Université Versailles Saint-Quentin-en-Yvelines, 2021. ⟨tel-03144625⟩

Lectures2 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⟩