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Publications

Teaching

Publications are sorted by themes (click on one to access it directly)

• Memoirs
• Summer schools and other research but studients oriented texts
• Mathematical Biology
• Homogenization and transport equations with singular velocity fields
  
• Many Particles' Systems
• Coagulation-fragmentation models
• Averaging Lemmas/Kinetic formulations
• Vlasov Equations (existence, hydrodynamic limits...)                                                                       

Memoirs

• Habilitation
  
• Introduction to my PhD Thesis
  

Summer schools and other research but studients oriented texts

• Averaging lemmas (Porto Ercole 2008 and Granada 2009) and the slides of the course
• Mean field limits (Granada 2008) and the proceeding of a similar course in Les Houches 2008
  

Mathematical Biology

• P.E. Jabin, Small populations corrections for selection-mutation models, Preprint.
  
• N. Champagnat, P.E. Jabin, G. Raoul, Convergence to equilibrium in competitive Lotka-Volterra equations. C.R. Math. Acad. Sci. Paris 348 (2010), no. 23-24, 1267-1272.
  
• N. Champagnat, P.E. Jabin, The evolutionary limit for models of populations interacting competitively with many resources. J. Differential Equations 251 (2011), no. 1, 176-195 .
  
• P.E. Jabin, G. Raoul, On Selection dynamics for competitive interactions. J. Math. Bio 63 (2011), no. 3, 493-517.
• I. Brazzoli, E. De Angelis, P.E. Jabin, A Mathematical Model of Immune Competition Related to Cancer Dynamics. To appear  M2AN Math. Model. Numer. Anal.
• 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 mutation-selection dynamics. Commun. Math. Sci. 6 (2008), no. 3, 729-747.
• A. Habbal, P.E. Jabin, Two short presentations related to cancer modeling. ARIMA Rev. Afr. Rech. Inform. Math. Appl. 10 2008-2009.
• 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.
  
• 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, B. Perthame, The dynamics of adaptation : an illuminating example and a Hamilton-Jacobi approach. Th. Pop. Biol., 67, 257-271 (2005).
• 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).
• 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).

Homogenization and transport equations with singular coefficients

• F. Ben Belgacem, P.E. Jabin, Compactness for nonlinear transport equations. Preprint.
  
• N. Champagnat, P.E. Jabin, The dynamic of one particle in any dimension 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 et Appl (9) 94 (2010), no. 6, 597-621.
  
• P.E Jabin, A. Tzavaras, Kinetic decomposition of homogenization problems. Siam J. Math. Anal. 41 (2009), no. 1, 360-390.

Many Particles' Systems

• M. Hauray, P.E. Jabin, Particles approximations of Vlasov equations with singular forces : Part. 2. Preprint
  
• J. Barré, M. Hauray, P.E. Jabin, Stability of trajectories for $N$-particles dynamics with singular potential. J. Stat. Mech., (2010), doi:10.1088/1742-5468/2010/07/P07005.
  
• 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.
• M. Hauray, P.E. Jabin, N-particles approximation of the Vlasov-Poisson equation, Arch. Ration. Mech. Anal. 183, 489--524 (2007).
• P.E. Jabin, F. Otto, Identification of the dilute regime in particle sedimentation, Comm. Math. Phys.,  250, 415--432 (2004).
• 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.
  

Coagulation-fragmentation models

• Calvo, J.; Jabin, P.-E. Large time asymptotics for a modified coagulation model. J. Differential Equations 250 (2011), no. 6, 2807–2837
• P.E. Jabin, J. Soler, A coupled Boltzmann \& Navier--Stokes fragmentation model induced by a fluid-particle-spring interaction. Multiscale Model. Simul. 8 (2010), no. 4, 1244-1268.
  
• P.E. Jabin, J. Soler, A Kinetic Description of Particle Fragmentations.  Math. Methods Appl. Sci., 16, 933--948 (2006).
  
• 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, B. Niethammer, On the rate of convergence to equilibrium in the Becker-Döring equations, J. Differential Equations, 191, 518--543 (2003).

Averaging Lemmas (regularizing effects for kinetic equation)/Kinetic formulations

• 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. Équ. Dériv. Partielles, Ecole Polytech., Palaiseau.
• P.E. Jabin,  Averaging Lemmas and Dispersion Estimates for kinetic equations.  Riv. Mat. Univ. Parma (8) 1 (2009), 71-138.
• P.E. Jabin, L. Vega, A Real Space Method for Averaging Lemmas. J. de Math. Pures et Appl., 83, 1309-1351 (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).
• 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.
• 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, B. Perthame, Line-energy Ginzburg-Landau models: zero-energy states. Ann. Sc. Norm. Sup. Pisa, 5, 187-202 (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).

Vlasov Equations (existence, hydrodynamic limits...)

• 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. Preprint.
  
• 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.
• T. Goudon, P.E. Jabin, 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, A. Vasseur, Hydrodynamic limits for Vlasov-Stokes equations: Part I: Light Particles Regime, Indiana Univ. Math. J., 53, 1495--1513 (2004).
• P.E. Jabin, Various levels of models for aerosols, Math. Models Methods Appl. Sci., 12, 903--919 (2002).
• P.E. Jabin, The Vlasov-Poisson system with infinite mass and energy, J. Statist. Phys., 103, 1107--1123 (2001).
• I. Gasser, P.E. Jabin, 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, Large time concentrations for solutions to kinetic equations with energy dissipation, Comm. Partial Differential Equations, 25, 541--557 (2000).