Benoît Perthame - Selected Publications#


Parabolic equations in biology. Springer, 2015.

Transport equations in biology. Birkhäuser, 2007.

Kinetic formulation of conservation laws. Oxford Univ. Press, 2002.


M. J. Caceres Granados, B. Perthame. Beyond blow-up in excitatory integrate and fire neuronal networks: refractory
period and spontaneous activity. Journal of Theoretical Biology 350 (2014) 81–89.

P.-L. Lions, B. Perthame, P. E. Souganidis. Scalar conservation laws with rough (stochastic) fluxes; the spatially dependent
case. Stochastic Partial Differential Equations: Analysis and Computations: Vol. 2, No 4 (2014), 517–538.

J. Saragosti, V. Calvez, N. Bournaveas, B. Perthame, A. Buguin, P. Silberzan. Directional persistence of chemotactic bacteria
in a traveling concentration wave. PNAS 2011 108 (39) 16235–16240. doi:10.1073/pnas.1101996108.

G. Barles, B. Perthame. Dirac concentrations in Lotka-Volterra parabolic PDEs. Indiana Univ. Math. J. 7(7) 2008, 3275–3301.

B. Perthame. Mathematical tools for kinetic equations. Bull. A.M.S. 41 (2) (2004) 205–244.

P.-L. Lions, B. Perthame. Global smooth solutions of the Vlasov-Poisson system in three dimensions. Invent. Math. 105
(1991), 415–430.

F. Golse, P.-L. Lions, B. Perthame, R. Sentis. Regularity of the moments of the solutions of a transport equation.
J. Funct. Anal. 1988.

Highly Cited ISI (1987-2015)
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