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Memoirs, Reviews and Summer schools
Publications
- P.-E. Jabin, D. Bresch, Z. Wang, Mean-field limit and quantitative estimates with singular attractive kernels. Preprint.
- P.-E. Jabin, H.-Y. Lin, E. Tadmor, A new commutator method for averaging lemmas. Séminaire Laurent Schwartz – EDP et applications.
- W. Fagan, P.-E. Jabin, H.-Y. Lin, Memory-driven movement model for periodic migrations. To appear Journal of Theoretical Biology.
- P.-E. Jabin, H.-Y. Lin, E. Tadmor, Commutator Method for Averaging Lemmas. arXiv:2003.05047.
- W. Czaja, D. Dong, P.-E. Jabin, F.O.N. Njeunje, Analysis of hyperspectral data by means of transport models and machine learning. Accepted in IGARSS 2020.
- L. Berlyand, P.-E. Jabin, C. A. Safsten, Stability for the Training of Deep Neural Networks and Other Classifiers. Preprint.
- D. Bresch, P.-E. Jabin, Z. Wang, Modulated free energy and mean field limit. Séminaire Laurent Schwartz – EDP et applications.
- P.-E. Jabin, A. Mellet, M. Molina, Optimal transportation in a discrete setting. arXiv:1911.00574.
- W. Czaja, D. Dong, P.-E. Jabin, F.O.N. Njeunje, Transport Model for Feature Extraction. To appear SIMODS.
- D. Bresch, P.-E. Jabin, Z. Wang. On Mean Field Limit and Quantitative Estimates with a Large Class of Singular Kernels: Application to the Patlak-Keller-Segel Model. Comptes rendus – Mathématique, 357 (2019), no. 9, 709-720. DOI: 10.1016/j.crma.2019.09.007.
- L. Berlyand, P.-E. Jabin, M. Potomkin, E. Ratajczyk. A kinetic approach to active rods dynamics in confined domains. Multiscale Model. Simul. 18-1 (2020), 1-20, DOI: 10.1137/19M1263510.
- D. Bresch, P.-E. Jabin, Viscous compressible flows under pressure. Fluids under Pressure, Birkhäuser Publishing Ltd.
- J. Zhu, S. Teolis, N. Biassou, A. Tabb, P-E Jabin, O. Lavi. Tracking the adaptation and compensation processes of patients’ brain arterial network to an evolving glioblastoma. To appear Transactions on Pattern Analysis and Machine Intelligence.
- J. Calvo, P.-E. Jabin, J. Soler, Global weak solutions to the relativistic BGK equation. Comm. Partial Differential Equations, 45 (2020), no. 3, 191–229.
- W. Cai, P.-E. Jabin, H. Liu, Time-asymptotic Convergence Rates towards discrete steady states of a nonlocal selection-mutation model. Math. Models Methods Appl. Sci. 29 (2019), no. 11, 2063–2087.
- L. Berlyand, R. Creese, P.-E. Jabin, M. Potomkin, Continuum approximations to systems of correlated interacting particles. J. Stat. Phys. 174 (2019), no. 4, 808–829.
- L. Berlyand, P.-E. Jabin, On the convergence of formally diverging neural net-based classifiers. Comptes rendus – Mathématique, 356 (4), 2018 395–405, DOI: 10.1016/j.crma.2018.03.003.
- D. Bresch, P.-E. Jabin, Quantitative estimates for advective equations with degenerate anelastic constraint. Proceedings of the International Congress of Mathematicians—Rio de Janeiro 2018. Vol. III. Invited lectures, 2167–2192, World Sci. Publ., Hackensack, NJ, 2018.
- P.E. Jabin, Z. Wang, Quantitative estimates of propagation of chaos for stochastic systems with W^{-1,\infty} kernels. Inventiones Matematicae 214 (2018), no. 1, 523-591.
- D. Bresch, P.E. Jabin, Global Existence for Navier-Stokes Equations for thermodynamically unstable pressure and anisotropic viscous stress. Annals Math. 188} (2018), no. 2, 577-684.
- D. Bresch, P.-E. Jabin, Quantitative regularity estimates for compressible transport equations. New trends and results in mathematical description of fluid flows, 77–113, Necas Center Ser., Birkhäuser/Springer, Cham, 2018.
- P. Castelli, P.E. Jabin, S. Junca, Fractional spaces and conservation laws. Theory, numerics and applications of hyperbolic problems. I, 285–293, Springer Proc. Math. Stat., 236, Springer, Cham, 2018.
- P.E. Jabin, H. Liu, On a nonlocal selection-mutation model with a gradient flow structure. Nonlinearity 30 (2017), no. 11, 4220-4238.
- F. Ben Belgacem, P.E. Jabin, Convergence of numerical approximations to non-linear continuity equations with rough force fields. Arch. Ration. Mech. Anal., 234 (2019), no. 2, 509–547. DOI 10.1007/s00205-019-01396-3.
- P.-E. Jabin, R. Schram, Selection-Mutation dynamics with spatial dependence. To appear J. de Math. Pures et Appl.
- D. Bresch, P.-E. Jabin, Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations. Springer INdAM-series, special issue dedicated to G. Métivier. Eds F. Colombini, D. Del Santo, D. Lannes, 33-54, (2017).
- P.E. Jabin, T. Rey, Hydrodynamic Limit of Granular Gases to Pressureless Euler in Dimension 1. Quart. Appl. Math. 75 (2017), no. 1, 155-179.
- P.-E. Jabin, Z. Wang, Mean Field limit and Propagation of Chaos for Vlasov Systems with Bounded Forces. J. Funct. Anal. 271 (2016), no. 12, 3588-3627.
- P.E. Jabin, Critical non Sobolev regularity for continuity equations with rough force fields. J. Differential Equations 260 (2016), no. 5, 4739-4757.
- P.E. Jabin, A. Miroshnikov, R. Young, Cellulose Biodegradation Models; An Example of Cooperative Behaviour in Structured Populations. ESAIM Math. Model. Numer. Anal. 51 (2017), no. 6, 2289-2318.
- W. Cai, P.E. Jabin, H. Liu, Time-asymptotic Convergence Rates towards the Discrete Evolutionary Stable Distribution. Math. Models Methods Appl. Sci. 25 (2015), no. 8, 1589-1616.
- P.E. Jabin, S. Junca, A continuous model for ratings. Siam J. Appl. Math 75 (2015), no. 2, 420-442.
- L. Berlyand, P.E. Jabin, M. Potomkin, Complexity Reduction in many Particle Systems with Random Initial Data, SIAM Journal on Uncertainty Quantification 2016 4:1, 446-474.
- N. Champagnat, P.E. Jabin, Strong solutions to stochastic differential equations with rough coefficients. Annals of Proba, 46 (2018), no. 3, 1498-1541.
- P.E. Jabin, S. Motsch, Clustering and asymptotic behavior in opinion formation. J. Differential Equations 257 (2014), no. 11, 4165-4187.
- Y. Bourgaut, D. Broizat, P.E. Jabin, Convergence rate for the method of moments with linear closure relations. Kinet. Relat. Models 8 (2015), no. 1, 1-27.
- N. Champagnat, P.E. Jabin, S. Méléard, Adaptation in a stochastic multi-resources chemostat model. J. de Math. Pures et Appl. 9 101 (2014), no. 6, 755-788.
- P.E. Jabin, N. Masmoudi, DiPerna-Lions flow for relativistic particles in an electromagnetic field. Arch. Ration. Mech. Anal. 215 (2015), no. 3, 1029–1067.
- M. Hauray, P.E. Jabin, Particles approximations of Vlasov equations with singular forces : Propagation of chaos. Annal. Ecol. Norm. Sup. 48 (2015), no. 4, 891-940.
- P.E. Jabin, Mathematical models for morphogenesis: Linear or non linear diffusion; Comment on “Morphogenetic action through flux-limited spreading” by Verbeni, Sánchez, Mollica, Siegl-Cachedenier, Carleton, Guerrero, Ruiz i Altaba, Soler. Physics of Life Reviews, Volume 10, 4-Oct-2013, 485-486.
- M. Bossy, J. Fontbona, P.E. Jabin, J.F. Jabir, Local existence of analytical solutions to an incompressible Lagrangian stochastic model in a periodic domain. Comm. Partial Diff. Eq. 38, Issue 7, July 2013, 1141-1182.
- P.E. Jabin, Small populations corrections for selection-mutation models. Netw. Heterog. Media 7 (2012), no. 4, 805-836.
- F. Ben Belgacem, P.E. Jabin, Compactness for nonlinear continuity equations. J. Funct. Anal. 264 (2013), no. 1, 139–168.
- P.E. Jabin, A. Nouri, Analytic solutions to a strongly nonlinear Vlasov equation. C.R. Acad. Sci. Paris Ser. I Math., 349 (2011), no. 9-10, 541-546.
- N. Champagnat, P.E. Jabin, The evolutionary limit for models of populations interacting competitively with many resources. J. Diff. Eq. 251 (2011), no. 1, 176-195.
- P.E. Jabin, G. Raoul, Long time asymptotics for selection dynamics. J. Math. biol. 63 (2011), no. 3, 493-517.
- J. Calvo, P.E. Jabin, Large time asymptotics for a modified coagulation models. J. Differential Equations 250 (2011), no. 6, 2807-2837.
- N. Champagnat, P.E. Jabin, G. Raoul, Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems. C.R. Math. Acad. Sci. Paris 348 (2010), no. 23-24, 1267-1272.
- A. Gerschenfeld, P.E. Jabin, The mean-field limit for interacting particles. Long-range interacting systems 14, 320-328, Oxford Univ. Press, Oxford, 2010.
- J. Barré, M. Hauray, P.E. Jabin, Quantitative stability estimates for systems of many interacting particles. J. Stat. Mech., (2010), doi:10.1088/1742-5468/2010/07/P07005.
- N. Champagnat, P.E. Jabin, Well posedness in any dimension for some Hamiltonian flows with non BV force terms. Comm. Partial Diff. Eq. 35 (2010), no. 5, 786-816.
- P.E. Jabin, Differential Equations with singular fields. J. de Math. Pures Appl. (9) 94 (2010), no. 6, 597-621.
- P.E. Jabin, Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws. Séminaire: Equations aux Dérivées Partielles, 2008-2009, Exp. No. XVI, 15 pp., Sémin. Equ. Dériv. Partielles, Ecole Polytech., Palaiseau.
- P.E. Jabin, J. Soler, A coupled Boltzmann & Navier-Stokes fragmentation model induced by a fluid-particle-spring interaction. Simul. 8 (2010), 1244-1268.
- I. Brazzoli, E. De Angelis, P.E. Jabin, A Mathematical Model of Immune Competition Related to Cancer Dynamics. Math. Model. Methods Appl. Sci. 33 (2010), 733-650.
- A. Habbal, P.E. Jabin, Two short presentations related to cancer modeling. ARIMA Rev. Afr. Rech. Inform. Math. Appl. 10 (2008-2009).
- P.E. Jabin, Averaging Lemmas and Dispersion Estimates for kinetic equations. Riv. Mat. Univ. Parma 1 (2009), 71-138.
- P.E. Jabin, A. Tzavaras, Kinetic decomposition for periodic homogenization problems. Siam J. Math. Anal. 41 (2009), 360-390.
- P.E. Jabin, V. Lemesle, D. Aurelle, A continuous size-structured red coral growth model. Math. Models Methods Appl. Sci., 18 (2008), no. 11, 1927-1944.
- L. Desvillettes, P.E. Jabin, S. Mischler, G. Raoul, On selection dynamics for continuous structured populations. Commun. Math. Sci. 6 (2008), no. 3, 729-747.
- J. Barré, P.E. Jabin, Free transport limit for N-particles dynamics with singular and short range potential. J. Stat. Phys. 131 (2008), no. 6, 1085-1101.
- L. Derbel, P.E. Jabin, The set of concentration for some hyperbolic models of chemotaxis. J. Hyperbolic Differ. Equ. 4 (2007), no. 2,
331-349.
- M. Hauray, P.E. Jabin, N-particles approximation of the Vlasov-Poisson equation with singular potentials. Arch. Ration. Mech. Anal., 183 (2007), no. 3, 489-524.
- P.E. Jabin, J. Soler, A Kinetic Description of Particle Fragmentations. Math. Methods Appl. Sci. 16, 933-948 (2006).
- C. Baranger, L. Boudin, P.E. Jabin, S. Mancini, A modeling of biospray for the upper airways. CEMRACS 2004-mathematics and
applications to biology and medicine, 41-47 (electronic), ESAIM Proc., 14, EDP Sci., 2005.
- E. De Angelis, P.E. Jabin, Mathematical Models of Therapeutical Actions Related to Tumour and Immune System Competition. Math. Methods Appl. Sci. 28, no. 17, 2061-2083 (2005).
- O. Diekmann, P.E. Jabin, S. Mischler and B. Perthame, The dynamics of adaptation : an illuminating example and a Hamilton-Jacobi approach. Th. Pop. Biol. 67, 257-271 (2005).
- C. Klingenberg, P.E. Jabin, Existence of solutions to an inhomogeneous, kinetic model of droplet coalescence. Nonlinear partial differential equations and related analysis, 181-192, Contemp. Math., 371, Amer. Math. Soc., Providence, RI, 2005.
- P.E. Jabin, L. Vega, A Real Space Method for Averaging Lemmas. J. de Math. Pures et Appl. 83, 1309-1351 (2004).
- T. Goudon, P.E. Jabin and A. Vasseur, Hydrodynamic limits for Vlasov-Stokes equations: Part II: Fine Particles Regime. Indiana Univ. Math. J. 53, 1517-1536 (2004).
- T. Goudon, P.E. Jabin and A. Vasseur, Hydrodynamic limits for Vlasov-Stokes equations: Part I: Light Particles Regime. Indiana Univ. Math. J. 53, 1495-1513 (2004).
- P.E. Jabin, L. Vega, Lemmes de moyenne et Transformée aux rayons X. C.R. Acad. Sci. Paris Sér. I Math. 337, 505-510 (2003).
- H. Frid, P.E. Jabin, B. Perthame, Global Stability of Steady Solutions for a Model in Virus Dynamics. Math. Model. Numer. Anal. 37, 709-723 (2003).
- P.E. Jabin, B. Niethammer, On the rate of convergence to equilibrium in the Becker-Döring equations. J. Differential Equations 191, 518-543 (2003).
- P.E. Jabin, B. Perthame, Kinetic methods for Line-energy Ginzburg-Landau models. Séminaire sur les Equations aux Dérivées Partielles, 2001-2002, Exposé XIII, Ecole Polytech., Palaiseau, 2002.
- E. De Angelis, P.E. Jabin, Qualitative Analysis of a Mean Field Model of Tumor-Immune System Competition. Math. Models Methods Appl. Sci. 13, 187-206 (2003).
- P.E. Jabin, B. Perthame, Regularity in kinetic formulations via averaging lemmas. ESAIM Control Optim. Calc. Var. 8, 761-774 (2002).
- P.E. Jabin, F. Otto and B. Perthame, Line-energy Ginzburg-Landau models: zero-energy states. Ann. Sc. Norm. Sup. Pisa 5, 187-202 (2002).
- P.E. Jabin, Various levels of models for aerosols, Math. Models Methods Appl. Sci. 12, 903-919 (2002).
- P.E. Jabin, B. Perthame, Compactness in Ginzburg-Landau energy by kinetic averaging. Comm. Pure Appl. Math. 54, 1096-1109 (2001).
- P.E. Jabin, B. Perthame, Compacité par lemmes de moyenne cinétiques pour des énergies de Ginzburg-Landau. C.R. Acad. Sci. Paris Sér. I Math. 331}, 441-445 (2000).
- P.E. Jabin, F. Otto, Identification of the dilute regime in particle sedimentation. Comm. Math. Phys. 250, 415-432 (2004).
- P.E. Jabin, The Vlasov-Poisson system with infinite mass and energy. J. Statist. Phys. 103, 1107-1123 (2001).
- I. Gasser, P.E. Jabin and B. Perthame, Regularity and propagation of moments in some nonlinear Vlasov systems. Proc. Roy.
Soc. Edinburgh Sect. A 130, 1259-1273 (2000).
- P.E. Jabin, Macroscopic limit of Vlasov type equations with friction. Ann. Inst. H. Poincaré Anal. Non Linéaire 17, 651-672 (2000).
- P.E. Jabin, B. Perthame, Notes on mathematical problems on the dynamics of dispersed particles interacting through a fluid. Modelling in applied sciences, a kinetic theory approach, 111-147, Model. Simul. Sci. Eng. Technol., Birkhauser Boston, 2000.
- P.E. Jabin, Large time concentrations for solutions to kinetic equations with energy dissipation. Comm. Partial Differential Equations 25, 541-557 (2000).