Lucilla Corrias

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

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, ….

You can download my CV here

• A differential model for growing sandpiles on networks,
  S. Cacace, F. Camilli & L. Corrias,
  SIAM J. Math. Anal., 50 (2018), 2509 - 2535.pdf
• Parabolic models for chemotaxis on weighted networks,
  F. Camilli & L. Corrias,
  Journal de Mathématiques Pures et Appliquées, 108 (2017), 459 - 480 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 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 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, 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 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 - 32pdf
• The parabolic-parabolic Keller-Segel model in R^2,
  V. Calvez & L. Corrias,
  Commun. Math. Sci., 6 (2008), 417 - 447 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 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 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 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 pdf
• A chemotaxis model motivated by angiogenesis,
  L. Corrias, B. Perthame & H. Zaag,
  C. R. Acad. Sci. Paris, Série I, 366, (2003), 141 - 146 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 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 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 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 - 580pdf
• 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) pdf

RéCIF, Réseau des Chercheurs Italiens en France, Rete dei Ricercari Italiani in Francia

AMIES, Agence pour les Mathématiques en Interaction avec l'Entreprise et la Société

KIBORD, KInetic models in Biology Or Related Domains, ANR BLANCHE project, 2014 - 2018

Interactions between Partial Differential Equations & Functional Inequalities, thematic semester at Mittag-Leffler Institut, September-December 2016

Mathematical modeling in Biology and Medicine, CIMPA-UNESCO-MESR-MINECO-CUBA research school, Santiago de Cuba, 8-17 June, 2016

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