L. Ambrosio, N. Fusco, and D. Pallara, Free Discontinuity Problems and Special Functions with Bounded Variation, 2000.
DOI : 10.1007/978-3-0348-8974-2_2

L. Ambrosio, N. Gigli, and G. Savaré, Gradient flows in metric space of probability measures, Lectures in Mathematics, 2005.

D. Benedetto, E. Caglioti, and M. Pulvirenti, A kinetic equation for granular media, RAIRO Model, Math. Anal. Numer, pp.31-615, 1997.

A. L. Bertozzi and J. Brandman, Finite-time blow-up of L???-weak solutions of an aggregation equation, Communications in Mathematical Sciences, vol.8, issue.1, pp.45-65, 2010.
DOI : 10.4310/CMS.2010.v8.n1.a4

A. L. Bertozzi, J. A. Carrillo, and T. Laurent, Blow-up in multidimensional aggregation equations with mildly singular interaction kernels, Nonlinearity, vol.22, issue.3, pp.683-710, 2009.
DOI : 10.1088/0951-7715/22/3/009

A. L. Bertozzi and T. Laurent, Finite-Time Blow-up of Solutions of an Aggregation Equation in R n, Communications in Mathematical Physics, vol.75, issue.7, pp.717-735, 2007.
DOI : 10.1007/s00220-007-0288-1

G. Bonaschi, J. A. Carrillo, M. D. Francesco, and M. Peletier, Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D, preprint arXiv:1310, p.4110, 1310.

F. Bouchut and F. James, One-dimensional transport equations with discontinuous coefficients, Nonlinear Analysis: Theory, Methods & Applications, vol.32, issue.7, pp.891-933, 1998.
DOI : 10.1016/S0362-546X(97)00536-1

F. Bouchut and F. James, Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness, Comm. Partial Differential Eq, vol.24, pp.2173-2189, 1999.

N. Bournaveas, V. Calvez, S. Gutì-errez, and B. Perthame, Global Existence for a Kinetic Model of Chemotaxis via Dispersion and Strichartz Estimates, Communications in Partial Differential Equations, vol.105, issue.1, pp.79-95, 2008.
DOI : 10.1090/S0273-0979-04-01004-3

M. Burger, V. Capasso, and D. Morale, On an aggregation model with long and short range interactions, Nonlinear Analysis: Real World Applications, vol.8, issue.3, pp.939-958, 2007.
DOI : 10.1016/j.nonrwa.2006.04.002

R. Camassa and D. Holm, An integrable shallow water equation with peaked solitons, Physical Review Letters, vol.71, issue.11, pp.71-1661, 1993.
DOI : 10.1103/PhysRevLett.71.1661

J. A. Carrillo, M. Difrancesco, A. Figalli, T. Laurent, and D. Slep?ev, Globalin-time weak measure solutions and finite-time aggregation for nonlocal interaction equations , Duke Math, J, pp.156-229, 2011.

R. M. Colombo, M. Garavello, and M. Lécureux-mercier, A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC, Mathematical Models and Methods in Applied Sciences, vol.22, issue.04, pp.1150023-1150057, 2012.
DOI : 10.1142/S0218202511500230

URL : https://hal.archives-ouvertes.fr/hal-00586008

G. Crippa and M. Lécureux-mercier, Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow, Nonlinear Differential Equations and Applications NoDEA, vol.57, issue.3, pp.20-523, 2013.
DOI : 10.1007/s00030-012-0164-3

URL : https://hal.archives-ouvertes.fr/hal-00653053

Y. Dolak and C. Schmeiser, Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms, Journal of Mathematical Biology, vol.23, issue.6, pp.595-615, 2005.
DOI : 10.1007/s00285-005-0334-6

F. Filbet, . Ph, B. Laurençot, and . Perthame, Derivation of hyperbolic models for chemosensitive movement, Journal of Mathematical Biology, vol.5, issue.2, pp.189-207, 2005.
DOI : 10.1007/s00285-004-0286-2

F. Filbet and S. Jin, A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources, Journal of Computational Physics, vol.229, issue.20, pp.7625-7648, 2010.
DOI : 10.1016/j.jcp.2010.06.017

URL : https://hal.archives-ouvertes.fr/hal-00659668

L. Gosse, Asymptotic-Preserving and Well-Balanced schemes for the 1D Cattaneo model of chemotaxis movement in both hyperbolic and diffusive regimes, Journal of Mathematical Analysis and Applications, vol.388, issue.2, pp.964-983, 2012.
DOI : 10.1016/j.jmaa.2011.10.039

L. Gosse, A well-balanced scheme for kinetic models of chemotaxis derived from onedimensional local forward-backward problems, Mathematical Biosciences
URL : https://hal.archives-ouvertes.fr/hal-00651430

L. Gosse and G. Toscani, Space Localization and Well-Balanced Schemes for Discrete Kinetic Models in Diffusive Regimes, SIAM Journal on Numerical Analysis, vol.41, issue.2, pp.641-658, 2003.
DOI : 10.1137/S0036142901399392

F. James and N. Vauchelet, On the hydrodynamical limit for a one dimensional kinetic model of cell aggregation by chemotaxis, Riv. Mat. Univ. Parma, vol.3, pp.91-113, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00527338

F. James and N. Vauchelet, Chemotaxis: from kinetic equations to aggregate dynamics, Nonlinear Differential Equations and Applications NoDEA, vol.2, issue.3, pp.101-127, 2013.
DOI : 10.1007/s00030-012-0155-4

URL : https://hal.archives-ouvertes.fr/hal-00605479

F. James and N. Vauchelet, Numerical simulation of a hyperbolic model for chemotaxis after blow-up, preprint http://hal.archives-ouvertes.fr/hal-00772653 Vauchelet, Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations, preprint http, Proceedings of 14 Conference on Hyperbolic Problems, 2012.

S. Jin, Asymptotic preserving (AP) schemes for multiscale kinetic and hyperbolic equations: a review, Riv. Mat. Univ. Parma, vol.3, pp.177-216, 2012.

S. Jin, Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations, SIAM Journal on Scientific Computing, vol.21, issue.2, pp.441-454, 1999.
DOI : 10.1137/S1064827598334599

S. Jin and L. Pareschi, Discretization of the Multiscale Semiconductor Boltzmann Equation by Diffusive Relaxation Schemes, Journal of Computational Physics, vol.161, issue.1, pp.312-330, 2000.
DOI : 10.1006/jcph.2000.6506

S. Jin, L. Pareschi, and G. Toscani, Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations, SIAM Journal on Numerical Analysis, vol.38, issue.3, pp.913-936, 2001.
DOI : 10.1137/S0036142998347978

M. Lemou and L. Mieussens, A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit, SIAM Journal on Scientific Computing, vol.31, issue.1, pp.31-334, 2008.
DOI : 10.1137/07069479X

URL : https://hal.archives-ouvertes.fr/hal-00348594

A. J. Leverentz, C. M. Topaz, and A. J. Bernoff, Asymptotic Dynamics of Attractive-Repulsive Swarms, SIAM Journal on Applied Dynamical Systems, vol.8, issue.3, pp.880-908
DOI : 10.1137/090749037

H. Li and G. Toscani, Long-Time Asymptotics of Kinetic Models of Granular Flows, Archive for Rational Mechanics and Analysis, vol.172, issue.3, pp.407-428, 2004.
DOI : 10.1007/s00205-004-0307-8

D. Morale, V. Capasso, and K. Oelschläger, An interacting particle system modelling aggregation behavior: from individuals to populations, Journal of Mathematical Biology, vol.150, issue.1, pp.49-66, 2005.
DOI : 10.1007/s00285-004-0279-1

J. Nieto, F. Poupaud, and J. Soler, High-Field Limit for the Vlasov-Poisson-Fokker-Planck System, Archive for Rational Mechanics and Analysis, vol.158, issue.1, pp.29-59, 2001.
DOI : 10.1007/s002050100139

A. Okubo and S. Levin, Diffusion and Ecological Problems: Modern Perspectives, 2002.
DOI : 10.1007/978-1-4757-4978-6

N. Vauchelet, Numerical simulation of a kinetic model for chemotaxis, Kinetic and Related Models, vol.3, issue.3, pp.501-528, 2010.
DOI : 10.3934/krm.2010.3.501

URL : https://hal.archives-ouvertes.fr/hal-00844174