======Lucilla Corrias====== ---- {{:members:corrias:p1030978.jpg?200|}} \\ Maître de Conférence\\ Laboratoire de Mathématiques et Modélisation d'Évry (UMR 8071)\\ Université d'Evry Val d'Essonne\\ I.B.G.B.I., 23 Bd. de France, 91037 Évry Cedex\\ Phone : (+33) (0)1 64 85 34 83\\ e-mail : lucilla.corrias[at]univ-evry.fr\\ \\ ---- ===== Research Interest ===== I'm mainly interested in the analysis (theoretical and numerical) of partial differential equations and systems as : Hamilton-Jacobi equations, hyperbolic conservation laws, kinetic equations, parabolic models for chemotaxis, …. ---- ===== CV ===== You can download my CV here {{CV2019.pdf| }} ---- ===== Publications ===== * A differential model for growing sandpiles on networks,\\ S. Cacace, F. Camilli & L. Corrias,\\ //SIAM J. Math. Anal., 50 (2018), 2509 - 2535//.[[https://doi.org/10.1137/17M113143X|pdf]] * Parabolic models for chemotaxis on weighted networks,\\ F. Camilli & L. Corrias,\\ //Journal de Mathématiques Pures et Appliquées, 108 (2017), 459 - 480// [[https://doi.org/10.1016/j.matpur.2017.07.003|pdf]] * Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane,\\ L. Corrias, M. Escodebo & J. Matos, \\ //J. Differential Equations 257 (2014), 1840 - 1878 //[[http://www.sciencedirect.com/science/article/pii/S0022039614002113|pdf]] * On numerical approximations of the Hamilton-Jacobi transport system arising in high frequency approximations,\\ Y. Achdou, F. Camilli & L. Corrias,\\ //Discrete and Continuous Dynamical Systems - Series B, 19 (2014), 629 - 650 //[[http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=9670|pdf]] * Blow-up dynamics of self-attracting diffusive particles driven by competing convexities,\\ V. Calvez & L. Corrias, \\ // Discrete and Continuous Dynamical Systems - Series B, 18 (2013), 2029-2050, //[[http://dx.doi.org/10.3934/dcdsb.2013.18.2029|pdf]] * Blow-up, concentration phenomenon and global existence for the Keller-Segel model in high dimension,\\ V. Calvez, L. Corrias & A. Ebde, \\ //Comm. Partial Differential Equations, 37 (2012), 5615 - 84 //[[http://dx.doi.org/10.1080/03605302.2012.655824|pdf]] * Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model in 2 dimension,\\ P. Biler, L. Corrias & J. Dolbeault,\\ //J. Math. Biol., 63 (2011), 1 - 32//[[http://dx.doi.org/10. 1007/s00285-010-0357-5|pdf]] * The parabolic-parabolic Keller-Segel model in R^2,\\ V. Calvez & L. Corrias, \\ //Commun. Math. Sci., 6 (2008), 417 - 447 //[[http://projecteuclid.org/euclid.cms/1214949930.|pdf]] * Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces,\\ L. Corrias & B. Perthame,\\ //Math. Comput. Modelling, 47 (2008), 755 - 764 // [[http://dx.doi.org/10.1016/j.mcm.2007.06.005|pdf]] * Critical space for the parabolic-parabolic Keller-Segel model in R^d,\\ L. Corrias & B. Perthame,\\ //C. R. Acad. Sci. Paris, Série. I, 342 (2006), 745 - 750 //[[http://dx.doi.org/10.1016/j.crma.2006.03.008|pdf]] * Global Solutions of some Chemotaxis and Angiogenesis Systems in high space dimensions,\\ L. Corrias, B. Perthame & H. Zaag,\\ //Milan J. Math. 72 (2004), 1 - 28 //[[http://link.springer.com/article/10.1007/s00032-003-0026-x|pdf]] * L^p and L^1 a priori estimates for some chemotaxis models and applications to the Cauchy problem,\\ L. Corrias, B. Perthame & H. Zaag,\\ //The mechanism of the spatio-temporal pattern arising in reaction diffusion system,// Kyoto 2004 [[http://www.math.univ-paris13.fr/~zaag/publications/CPZkyoto04.pdf|pdf]] * A chemotaxis model motivated by angiogenesis,\\ L. Corrias, B. Perthame & H. Zaag,\\ //C. R. Acad. Sci. Paris, Série I, 366, (2003), 141 - 146 // [[http://dx.doi.org/10.1016/S1631-073X(02)00008-0|pdf]] * Relaxation limits for a class of balance laws with kinetic formulation,\\ Y. Brenier, L. Corrias & R. Natalini,\\ //Advances in Nonlinear Partial Differential Equations and related areas, 2 - 14,World Sci. Publishing, River Edge, NJ, 1999// [[http://www.ams.org/mathscinet-getitem?mr=1690819|pdf]] * A Kinetic Formulation for Multi-Branch Entropy Solutions of Scalar Conservation Laws,\\ Y. Brenier & L. Corrias,\\ //Ann. Inst. Henri Poincaré, Analyse non linéaire, 15 (1998), 169 - 190 //[[http://eudml.org/doc/78435|pdf]] \\ **Prix 1999 - Institut Henri Poincaré/Gauthier-Villars, Section Analyse non Linéaire. ** * Fast Legendre-Fenchel Transform and Applications to Hamilton-Jacobi Equations and Conservation Laws,\\ L. Corrias,\\ //S.I.A.M. J. Num. Anal. 33 (1996), 1534 - 1558 //[[http://dx.doi.org/10.1137/S0036142993260208|pdf]] * Équations de moments pour un modèle de transport,\\ Y. Brenier & L. Corrias,\\ //C. R. Acad. Sci. Paris, Série I, 321, (1995), 727 - 730 // * Numerical Schemes for Conservation Laws via Hamilton-Jacobi Equations,\\ L. Corrias, M. Falcone & R. Natalini,\\ //Math. Comp. 64 (1995), 555 - 580//[[http://dx.doi.org/10.1090/S0025-5718-1995-1265013-5|pdf]] * On a Class of Large Time-Step Schemes for Conservation Laws,\\ L. Corrias, M. Falcone & R. Natalini,\\ //Nonlinear hyperbolic problems : theoretical, applied and computational aspects (Taormina, 1992), 159–170, Notes Numer. Fluid Mech., 43, Friedr. Vieweg, Braunschweig (1993) //[[http://dx.doi.org/10.1007/978-3-322-87871-7|pdf]] ---- ===== Links ===== [[https://recifsite.wordpress.com|RéCIF]], Réseau des Chercheurs Italiens en France, Rete dei Ricercari Italiani in Francia \\ [[http://www.agence-maths-entreprises.fr/a/|AMIES]], Agence pour les Mathématiques en Interaction avec l'Entreprise et la Société [[https://www.ljll.math.upmc.fr/kibord/|KIBORD]], KInetic models in Biology Or Related Domains, ANR BLANCHE project, 2014 - 2018 [[http://www.mittag-leffler.se/?q=1617f|Interactions between Partial Differential Equations & Functional Inequalities]], thematic semester at Mittag-Leffler Institut, September-December 2016 \\ [[http://wwwf.imperial.ac.uk/~jcarrill/Cuba/Cimpa.html|Mathematical modeling in Biology and Medicine]], CIMPA-UNESCO-MESR-MINECO-CUBA research school, Santiago de Cuba, 8-17 June, 2016 \\ [[http://www.cimpa-icpam.org/ecoles-de-recherche/previous-programmes/2013-research-schools/list-of-2013-research-schools-by/article/pde-methods-in-biology-and?lang=fr|PDE methods in Biology and Medicine]], CIMPA-UNESCO-MESR-MINECO-CUBA research school, June 24-July 5, 2013, Universidad de La Habana, Ciudad Habana, Cuba ----