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ANR project: Code decision (reference) : ANR-13-BS01-0004
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Transversal instability for the thermodiffusive reaction-diffusion system

Michal Kolwalczyk , Benoît Perthame , Nicolas Vauchelet
Chinese Annals of Mathematics - Series B, 2015, 36 (5), pp.871-882. ⟨10.1007/s11401-015-0981-x⟩
Journal articles hal-00939013v1
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Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities and spectral estimates

Jean Dolbeault , Michal Kowalczyk
Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press, 26 (4), pp.949-977. ⟨10.5802/afst.1557⟩
Journal articles hal-01092572v3
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Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization

Jean Dolbeault , Maria J. Esteban , Michael Loss
Journal of Elliptic and Parabolic Equations, 2016, 2, pp.267-295
Journal articles hal-01395771v1
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Competition and boundary formation in heterogeneous media: Application to neuronal differentiation

Benoît Perthame , Cristóbal Quiñinao , Jonathan Touboul
Mathematical Models and Methods in Applied Sciences, 2015, 25 (13), pp.2477-2502. ⟨10.1142/S0218202515400151⟩
Journal articles hal-01054813v2
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Numerical methods for one-dimensional aggregation equations

Francois James , Nicolas Vauchelet
SIAM Journal on Numerical Analysis, 2015, 53 (2), pp.895-916. ⟨10.1137/140959997⟩
Journal articles hal-00955971v2
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Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate

Etienne Bernard , Pierre Gabriel
Journal of Functional Analysis, 2017, 272 (8), pp.3455-3485. ⟨10.1016/j.jfa.2017.01.009⟩
Journal articles hal-01313817v3
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Oscillatory regimes in a mosquito population model with larval feedback on egg hatching

Martin Strugarek , Laetitia Dufour , Nicolas Vauchelet , Luís Almeida , Benoît Perthame , et al.
Journal of Biological Dynamics, 2019, 13 (1), pp.269-300. ⟨10.1080/17513758.2019.1593524⟩
Journal articles hal-01674280v1
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On interfaces between cell populations with different mobilities

Tommaso Lorenzi , Alexander Lorz , Benoît Perthame
Kinetic and Related Models , 2017, 10 (1), pp.299-311. ⟨10.3934/krm.2017012⟩
Journal articles hal-01257180v2
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The Maxwell-Stefan diffusion limit for a kinetic model of mixtures with general cross sections

Laurent Boudin , Bérénice Grec , Vincent Pavan
Nonlinear Analysis: Theory, Methods and Applications, 2017, 159, pp.40-61. ⟨10.1016/⟩
Journal articles hal-01303312v1
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Distributed synaptic weights in a LIF neural network and learning rules

Benoît Perthame , Delphine Salort , Gilles Wainrib
Physica D: Nonlinear Phenomena, 2017, 353-354, pp.20-30. ⟨10.1016/j.physd.2017.05.005⟩
Journal articles hal-01541093v1
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Compactness of Linearized Kinetic Operators

Laurent Boudin , Francesco Salvarani
PSPDEIII, Dec 2014, Braga, Portugal. pp.73 - 97, ⟨10.1007/978-3-319-32144-8_4⟩
Conference papers hal-01432855v1
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Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations

Luís Almeida , Federica Bubba , Benoît Perthame , Camille Pouchol
Networks and Heterogeneous Media, 2019, 14 (1), ⟨10.3934/nhm.2019002⟩
Journal articles hal-01745769v2
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Dynamics of concentration in a population model structured by age and a phenotypical trait

Samuel Nordmann , Benoît Perthame , Cécile Taing
Acta Applicandae Mathematicae, 2018, 155 (1), pp.197-225. ⟨10.1007/s10440-017-0151-0⟩
Journal articles hal-01493068v2
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Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions

Andrea Bondesan , Laurent Boudin , Marc Briant , Bérénice Grec
Communications on Pure and Applied Analysis, 2020, 19 (5), pp.2549-2573. ⟨10.3934/cpaa.2020112⟩
Journal articles hal-01924308v1
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One-dimensional aggregation equation after blow up: existence, uniqueness and numerical simulation

Francois James , Nicolas Vauchelet
CoToCoLa, Jan 2015, Besançon, France
Conference papers hal-01234162v1
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Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities

Jean Dolbeault , Maria J. Esteban , Stathis Filippas , Achiles Tertikas
Calculus of Variations and Partial Differential Equations, 2015, pp.10.1007/s00526-015-0871-9
Journal articles hal-01089318v1

Effects of an advection term in nonlocal Lotka-Volterra equations

Tommaso Lorenzi , Rebecca H. Chisholm , Alexander Lorz
Preprints, Working Papers, ... hal-01237529v1
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Entropic structure and duality for multiple species cross-diffusion systems

Thomas Lepoutre , Ayman Moussa
Nonlinear Analysis: Theory, Methods and Applications, 2017, 159, ⟨10.1016/⟩
Journal articles hal-01373172v1

A new flocking model through body attitude coordination

Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno
Mathematical Models and Methods in Applied Sciences, 2017, 27 (6), pp.1005-1049. ⟨10.1142/S0218202517400085⟩
Journal articles hal-01534887v1
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The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states

Grégory Dumont , Pierre Gabriel
Nonlinearity, 2020, 33 (12), pp.6381-6420. ⟨10.1088/1361-6544/aba6d8⟩
Journal articles hal-01617088v4
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Ergodic behavior of non-conservative semigroups via generalized Doeblin's conditions

Vincent Bansaye , Bertrand Cloez , Pierre Gabriel
Acta Applicandae Mathematicae, 2020, 166 (1), pp.29-72. ⟨10.1007/s10440-019-00253-5⟩
Journal articles hal-01617071v4
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Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts

Etienne Bernard , Marie Doumic , Pierre Gabriel
Kinetic and Related Models , 2019, 12 (3), pp.551-571. ⟨10.3934/krm.2019022⟩
Journal articles hal-01363549v5
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Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model

Luís Almeida , Patrizia Bagnerini , Giulia Fabrini , Barry D Hughes , Tommaso Lorenzi
ESAIM: Mathematical Modelling and Numerical Analysis, 2019, 53 (4), pp.1157-1190. ⟨10.1051/m2an/2019010⟩
Journal articles hal-02433962v1
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Traveling Wave and Aggregation in a Flux-Limited Keller-Segel Model

Vincent Calvez , Benoît Perthame , Shugo Yasuda
Kinetic and Related Models , 2018, 11 (4), pp.891-909. ⟨10.3934/krm.2018035⟩
Journal articles hal-01591490v1
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Exponential relaxation to self-similarity for the superquadratic fragmentation equation

Pierre Gabriel , Francesco Salvarani
Applied Mathematics Letters, 2014, 27, pp.74-78. ⟨10.1016/j.aml.2013.08.001⟩
Journal articles hal-00860231v4
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Local stability of perfect alignment for a spatially homogeneous kinetic model

Pierre Degond , Amic Frouvelle , Gaël Raoul
Journal of Statistical Physics, 2014, 157 (1), pp.84-112. ⟨10.1007/s10955-014-1062-3⟩
Journal articles hal-00962234v2
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Incompressible limit of the Navier-Stokes model with a growth term

Nicolas Vauchelet , Ewelina Zatorska
Nonlinear Analysis: Theory, Methods and Applications, 2017, 163, pp.34
Journal articles hal-01525856v1
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Compactness of linearized kinetic operators

Laurent Boudin , Francesco Salvarani
From Particle Systems to Partial Differential Equations III, 162, Springer, 2016, Springer Proceedings in Mathematics & Statistics (PROMS), ⟨10.1007/978-3-319-32144-8_4⟩
Book sections hal-01242573v1
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Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods

Matteo Bonforte , Jean Dolbeault , Matteo Muratori , Bruno Nazaret
Kinetic and Related Models , 2017, 10 (1), pp.61-91
Journal articles hal-01279327v2
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Relaxation in time elapsed neuron network models in the weak connectivity regime

Stéphane Mischler , Q Weng
Preprints, Working Papers, ... hal-01148645v2