Bibliography

Major publications by the team in recent years

• 1R. Alicandro, M. Cicalese, A. Gloria.
  Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity, in: Arch. Ration. Mech. Anal., 2011, vol. 200, n^o 3, pp. 881–943.
• 2A. Gloria.
  Reduction of the resonance error - Part 1: Approximation of homogenized coefficients, in: Math. Models Methods Appl. Sci., 2011, vol. 21, n^o 8, pp. 1601–1630.
• 3A. Gloria.
  Numerical homogenization: survey, new results, and perspectives, in: Esaim. Proc., 2012, vol. 37, Mathematical and numerical approaches for multiscale problem.
• 4A. Gloria, F. Otto.
  An optimal variance estimate in stochastic homogenization of discrete elliptic equations, in: Ann. Probab., 2011, vol. 39, n^o 3, pp. 779–856.
• 5A. Gloria, F. Otto.
  An optimal error estimate in stochastic homogenization of discrete elliptic equations, in: Ann. Appl. Probab., 2012, vol. 22, n^o 1, pp. 1–28.
• 6A. Gloria, M. Penrose.
  Random parking, Euclidean functionals, and rubber elasticity, in: Comm. Math. Physics, 2013, vol. 321, n^o 1, pp. 1–31.

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 7E. Soret.
  Stochastic acceleration in an inelastic Lorentz gaz, Université Lille 1, June 2015.
  https://tel.archives-ouvertes.fr/tel-01236109

Articles in International Peer-Reviewed Journals

• 8D. Bonheure, E. Moreira dos Santos, M. Ramos, H. Tavares.
  Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems, in: Journal de Mathématiques Pures et Appliquées, 2015, vol. 104, n^o 6, pp. 1075–1107. [ DOI : 10.1016/j.matpur.2015.07.005 ]
  https://hal.archives-ouvertes.fr/hal-01182582
• 9C. Cancès, T. Gallouët, L. Monsaingeon.
  The gradient flow structure for incompressible immiscible two-phase flows in porous media, in: Comptes rendus de l'académie des sciences, Mathématiques, 2015, vol. 353, pp. 985-989.
  https://hal.archives-ouvertes.fr/hal-01122770
• 10M. De Buhan, A. Gloria, P. Le Tallec, M. Vidrascu.
  Reconstruction of a constitutive law for rubber from in silico experiments using Ogden's laws, in: International Journal of Solids and Structures, 2015, 16 p. [ DOI : 10.1016/j.ijsolstr.2015.02.026 ]
  https://hal.inria.fr/hal-00933240
• 11G. Dujardin, P. Lafitte.
  Asymptotic behavior of splitting schemes involving time-subcycling techniques, in: IMA Journal of Numerical Analysis, October 2015.
  https://hal.archives-ouvertes.fr/hal-00751217
• 12A. Gloria, M. Duerinckx.
  Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas, in: Archive for Rational Mechanics and Analysis, 2015, 39 p.
  https://hal.inria.fr/hal-01138797
• 13A. Gloria, Z. Habibi.
  Reduction of the resonance error in numerical homogenisation II: correctors and extrapolation, in: Foundations of Computational Mathematics, 2015, 67 p. [ DOI : 10.1007/s10208-015-9246-z ]
  https://hal.inria.fr/hal-00933234
• 14A. Gloria, D. Marahrens.
  Annealed estimates on the Green functions and uncertainty quantification, in: Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, 2015, 43 p, 43 pages.
  https://hal.archives-ouvertes.fr/hal-01093386
• 15A. Gloria, S. Neukamm, F. Otto.
  Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics, in: Inventiones Mathematicae, 2015, 61 p. [ DOI : 10.1007/s00222-014-0518-z ]
  https://hal.archives-ouvertes.fr/hal-01093405
• 16A. Gloria, J. Nolen.
  A quantitative central limit theorem for the effective conductance on the discrete torus, in: Communications on Pure and Applied Mathematics, 2015, 38 p.
  https://hal.archives-ouvertes.fr/hal-01093352
• 17A. Gloria, F. Otto.
  Quantitative results on the corrector equation in stochastic homogenization, in: Journal of the European Mathematical Society, 2015, 57 p, 57 pages, 1 figure.
  https://hal.archives-ouvertes.fr/hal-01093381
• 18S. R. Nodari, M. Conforti, G. Dujardin, A. Kudlinski, A. Mussot, S. Trillo, S. De Bièvre.
  Modulational instability in dispersion-kicked optical fibers, in: Physical Review A, July 2015, vol. 92, n^o 1. [ DOI : 10.1103/PhysRevA.92.013810 ]
  https://hal.inria.fr/hal-01250315
• 19E. Soret, S. De Bièvre.
  Stochastic acceleration in a random time-dependent potential, in: Stochastic Processes and their Applications, July 2015, vol. 125, pp. 2752–2785.
  https://hal.archives-ouvertes.fr/hal-01061294
• 20G. Thiofack, S. Coulibaly, M. Taki, S. De Bievre, G. Dujardin.
  Peregrine comb: multiple compression points for Peregrine rogue waves in periodically modulated nonlinear Schrödinger equations, in: Physical Review A, October 2015, vol. 92, n^o 4.
  https://hal.archives-ouvertes.fr/hal-01202842

Scientific Books (or Scientific Book chapters)

• 21D. Bonheure, R. Nascimento.
  Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion, in: Contributions to Nonlinear Elliptic Equations and Systems, Progress in Nonlinear Differential Equations and Their Applications, Springer, 2015, vol. 86. [ DOI : 10.1007/978-3-319-19902-3_4 ]
  https://hal.archives-ouvertes.fr/hal-01182833
• 22S. De Bievre, F. Genoud, S. R. Nodari.
  Orbital stability: analysis meets geometry, in: Nonlinear Optical and Atomic Systems, Lecture Notes in Mathematics, 2015, vol. 2146, pp. 147-273. [ DOI : 10.1007/978-3-319-19015-0_3 ]
  https://hal.archives-ouvertes.fr/hal-01028168

Other Publications

• 23S. N. Armstrong, A. Gloria, T. Kuusi.
  Bounded correctors in almost periodic homogenization, September 2015, working paper or preprint.
  https://hal.inria.fr/hal-01230991
• 24A. Benoit.
  Geometric optics expansions for hyperbolic corner problems II : huge amplification phenomenon, December 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01242899
• 25C. Besse, G. Dujardin, I. Lacroix-Violet.
  High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates, July 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01170888
• 26D. Bonheure, S. Cingolani, M. Nys.
  Nonlinear Schrödinger equation: concentration on circles driven by an external magnetic field, September 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01182834
• 27D. Bonheure, P. D 'avenia, A. Pomponio.
  On the electrostatic Born-Infeld equation with extended charges, August 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01182830
• 28D. Bonheure, M. Grossi, B. Noris, S. Terracini.
  Multi-layer radial solutions for a supercritical Neumann problem, August 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01182832
• 29D. Bonheure, F. Hamel.
  One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in R${}^N$, August 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01182688
• 30D. Bonheure, F. Juraj, S. Alberto.
  Qualitative properties of solutions to mixed-diffusion bistable equations, September 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01203710
• 31C. Chainais-Hillairet, T. Gallouët.
  Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation, May 2015, working paper or preprint.
  https://hal.inria.fr/hal-01147621
• 32S. De Bièvre, J. Faupin, B. Schubnel.
  Spectral analysis of a model for quantum friction, December 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01246914
• 33M. Duerinckx.
  Mean-field limits for some Riesz interaction gradient flows, January 2016, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01252661
• 34M. Duerinckx, A. Gloria.
  Stochastic homogenization of nonconvex unbounded integral functionals with convex growth, July 2015, working paper or preprint.
  https://hal.inria.fr/hal-01192752
• 35A. Gloria, F. Otto.
  The corrector in stochastic homogenization: Near-optimal rates with optimal stochastic integrability, October 2015, working paper or preprint.
  https://hal.inria.fr/hal-01230985

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• 38A. Anantharaman, C. Le Bris.
  A numerical approach related to defect-type theories for some weakly random problems in homogenization, in: Multiscale Model. Simul., 2011, vol. 9, n^o 2, pp. 513–544.
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• 39A. Anantharaman, C. Le Bris.
  Elements of mathematical foundations for numerical approaches for weakly random homogenization problems, in: Commun. Comput. Phys., 2012, vol. 11, n^o 4, pp. 1103–1143.
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• 41S. N. Armstrong, Z. Shen.
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• 42S. N. Armstrong, C. K. Smart.
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• 48S. De Bièvre, F. Genoud, S. Rota Nodari.
  Orbital Stability: Analysis Meets Geometry, in: Nonlinear Optical and Atomic Systems, C. Besse, J.-C. Garreau (editors), Lecture Notes in Mathematics, Springer International Publishing, 2015, vol. 2146, pp. 147-273.
• 49S. De Bièvre, C. Mejia-Monasterio, E. P. Parris.
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  Mean-field limits for some Riesz interaction gradient flows, January 2016, working paper or preprint.
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  Spectral description of the dynamics of ultracold interacting bosons in disordered lattices, in: New. J. Phys., 2013, vol. 15, 045030.
• 57A. Gloria, P. Le Tallec, M. Vidrascu.
  Foundation, analysis, and numerical investigation of a variational network-based model for rubber, in: Continuum Mech. Thermodyn..
• 58A. Gloria, S. Neukamm, F. Otto.
  A regularity theory for random elliptic operators and homogenization, September 2014, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01093368
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• 62F. Legoll, W. Minvielle.
  A control variate approach based on a defect-type theory for variance reduction in stochastic homogenization, in: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2015, vol. 13, n^o 2, pp. 519-550.
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  Stochastic acceleration in a random time-dependent potential, in: Stochastic Processes and their Applications, 2015, vol. 125, n^o 7, pp. 2752 – 2785.
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