Papers (not the final published versions)
Memoirs
Summer schools and other research level but studients oriented texts
Mathematical Biology
- N.
Champagnat, P.E. Jabin, G. Raoul, Convergence to equilibrium in competitive Lotka-Volterra equations, preprint.
- N.
Champagnat, P.E. Jabin, The evolutionary limit for models of
populations interacting competitively with many resources. Preprint.
- P.E. Jabin, G. Raoul, On Selection dynamics for competitive interactions. To appear J. Math. Bio.
- 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
Coagulation-fragmentation
models
- P.E. Jabin, J. Soler, A coupled Boltzmann \& Navier--Stokes fragmentation model induced by a fluid-particle-spring interaction. Submitted Math. Models Methods Appl. Sci.
- 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).
Particles' Systems
- J. Barré, M. Hauray, P.E. Jabin, Stability of trajectories for $N$-particles dynamics with singular potential. To appear J. Stat. Phys.
- 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.
Averaging Lemmas
(regularizing effects for kinetic equation)
- P.E.
Jabin, Some regularizing methods for transport equations and the
regularity of solutions to scalar conservation laws. Preprint.
- 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, Regularity in
kinetic formulations via averaging lemmas. ESAIM Control
Optim. Calc. Var., 8, 761-774 (2002).
- 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, 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...)
- P.E. Jabin, A. Nouri, Analytic solutions to a strongly nonlinear Vlasov equation, C.R.
Acad. Sci. Paris Sér. I Math., to appear.
- 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).