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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



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


Publications

  • Parabolic models for chemotaxis on weighted networks,
    F. Camilli & L. Corrias,
    Journal de Mathématiques Pures et Appliquées, in press 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
  • 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

Preprints

  • A differential model for growing sandpiles on networks,
    S. Cacace, F. Camilli & L. Corrias,
    arxiv.org/abs/1702.08697, submitted pdf

ReCIF, Réseau des chercheurs italiens en France, Rete dei Ricercari Italiani in Francia

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

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

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


members/corrias/welcome.txt · Last modified: 2017/06/01 08:49 by Lucilla Corrias

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