Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources, Series Frontiers in Mathematics, 2004. ,
The Keller???Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion, SIAM Journal on Mathematical Analysis, vol.38, issue.4, pp.1288-1315, 2006. ,
DOI : 10.1137/050637923
Asymptotic analysis of an advectiondominated chemotaxis model in multiple spatial dimensions, Commun. Math. Sci, vol.6 ,
Existence of solutions of the hyperbolic Keller-Segel model, Trans. Amer. Math. Soc, vol.361, issue.5, pp.2319-2335, 2009. ,
The Keller--Segel Model with Logistic Sensitivity Function and Small Diffusivity, SIAM Journal on Applied Mathematics, vol.66, issue.1, pp.286-308, 2005. ,
DOI : 10.1137/040612841
Studies of bacterial branching growth using reaction???diffusion models for colonial development, Physica A: Statistical Mechanics and its Applications, vol.260, issue.3-4, pp.510-554, 1998. ,
DOI : 10.1016/S0378-4371(98)00345-8
Autocatalytic reactions in the isothermal, continuous stirred tank reactor, Chemical Engineering Science, vol.38, issue.1, pp.29-43, 1983. ,
DOI : 10.1016/0009-2509(83)80132-8
Identification of genes required for different stages of dendritic swarming in Bacillus subtilis, with a novel role for phrC, Microbiology, vol.155, issue.2, pp.398-412, 2009. ,
DOI : 10.1099/mic.0.021477-0
URL : https://hal.archives-ouvertes.fr/hal-00594195
A Classification of Spikes and Plateaus, SIAM Review, vol.49, issue.1, pp.35-51, 2007. ,
DOI : 10.1137/050632427
A user???s guide to PDE models for chemotaxis, Journal of Mathematical Biology, vol.15, issue.1, pp.183-217, 2009. ,
DOI : 10.1007/s00285-008-0201-3
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, Part I, Jahresbericht der DMV, vol.105, issue.3, pp.103-165, 2003. ,
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, Part II, Jahresbericht der DMV, vol.106, issue.2, pp.51-69, 2004. ,
Branched swarming patterns on a synthetic medium formed by wild-type Bacillus subtilis strain 3610: detection of different cellular morphologies and constellations of cells as the complex architecture develops, Microbiology, vol.150, issue.6, pp.1839-1849, 2004. ,
DOI : 10.1099/mic.0.27061-0
Comparative Analysis of the Development of Swarming Communities of Bacillus subtilis 168 and a Natural Wild Type: Critical Effects of Surfactin and the Composition of the Medium, Journal of Bacteriology, vol.187, issue.1, pp.65-74, 2005. ,
DOI : 10.1128/JB.187.1.65-76.2005
Lubricating bacteria model for branching growth of bacterial colonies, Physical Review E, vol.59, issue.6, pp.50-7025, 1999. ,
DOI : 10.1103/PhysRevE.59.7025
Fluctuation induced diffusive instabilities, Nature, vol.394, issue.6693, pp.556-558, 1998. ,
DOI : 10.1038/29020
Modeling Spatio-Temporal Patterns Generated byBacillus subtilis, Journal of Theoretical Biology, vol.188, issue.2, pp.177-185, 1997. ,
DOI : 10.1006/jtbi.1997.0462
Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis, SIAM Journal on Applied Mathematics, vol.70, issue.5 ,
DOI : 10.1137/09075161X
Models of Self-Organizing Bacterial Communities and Comparisons with Experimental Observations, Mathematical Modelling of Natural Phenomena, vol.5, issue.1, pp.148-162, 2010. ,
DOI : 10.1051/mmnp/20105107
URL : https://hal.archives-ouvertes.fr/hal-00603847
A macrodcopic crowd motion model of gradient flow type ,
Reaction???diffusion modelling of bacterial colony patterns, Physica A: Statistical Mechanics and its Applications, vol.282, issue.1-2, pp.283-303, 2000. ,
DOI : 10.1016/S0378-4371(00)00085-6
Traveling plateaus for a Keller- Segel system with logistic sensitivity; existence and branching instabilities ,
Concentration Dependence of the Collective Dynamics of Swimming Bacteria, Physical Review Letters, vol.98, issue.15, p.158102, 2007. ,
DOI : 10.1103/PhysRevLett.98.158102