Gamma-convergence, homogenization and Allen-Cahn equation

  1. Gamma-convergence of the Allen-Cahn energy with an oscillating forcing term,
    N. Dirr, M. Lucia and M. Novaga,
    Interfaces and Free Boundaries, vol. 8 n. 1, pp. 47--78, 2006 ( .pdf).
  2. Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model,
    G. Bellettini, M. S. Gelli, S. Luckhaus and M. Novaga,
    Calc. Var. PDE, vol. 26 n. 4, pp. 429-445, 2006 ( .pdf).
  3. The geometry of mesoscopic phase transition interfaces,
    M. Novaga and E. Valdinoci,
    Discrete Contin. Dyn. Syst., vol. 19 n. 4, pp. 777-798, 2007 ( .pdf).
  4. Gradient theory of phase transitions with a rapidly oscillating forcing term,
    N. Dirr, M. Lucia and M. Novaga,
    Asymptotic Analysis, vol. 60, pp. 29-59, 2008 ( .pdf).
  5. Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations,
    M. Novaga and E. Valdinoci,
    ESAIM Control Optim. Calc. Var., vol. 15 n. 4, pp. 914-933, 2009 (.pdf).
  6. Gamma-entropy cost for scalar conservation laws,
    G. Bellettini, L. Bertini, M. Mariani and M. Novaga,
    Arch. Rat. Mech. Anal., vol. 195 n. 1, pp. 261-309, 2010 ( .pdf).
  7. Motion and pinning of discrete interfaces,
    A. Braides, M.S. Gelli and M. Novaga,
    Arch. Rat. Mech. Anal., vol. 195 n. 2, pp. 469-498, 2010 ( .pdf).
  8. Homogenization of fronts in highly heterogeneous media,
    G. Barles, A. Cesaroni and M. Novaga,
    SIAM J. on Math. Anal., vol. 43 n. 1, pp. 212-227, 2011 (.pdf).
  9. A semidiscrete scheme for a one-dimensional Cahn-Hilliard equation,
    C. Geldhauser and M. Novaga,
    Interfaces and Free Boundaries, vol. 13 no. 3, 327-339, 2011 (.pdf).
  10. Curve shortening flow in heterogeneous media,
    A. Cesaroni, M. Novaga and E. Valdinoci,
    Interfaces and Free Boundaries, vol. 13 no. 4, 485-505, 2011 (.pdf).
  11. Bump solutions for the mesoscopic Allen-Cahn equation in periodic media,
    M. Novaga and E. Valdinoci,
    Calc. Var. PDE, vol. 40 n. 1-2, pp. 37-49, 2011 (.pdf).
  12. Approximation and relaxation of perimeter in the Wiener space,
    M. Goldman and M. Novaga,
    Annales IHP - Analyse Nonlineaire, vol. 29, 525-544, 2012 (.pdf).
  13. Convergence of the one-dimensional Cahn-Hilliard Equation,
    G. Bellettini, L. Bertini, M. Mariani and M. Novaga,
    SIAM J. on Math. Anal., vol. 44 n. 5, 3458-3480, 2012 (.pdf).
  14. One-dimensional symmetry for semilinear equations with unbounded drift,
    A. Cesaroni, M. Novaga and A. Pinamonti,
    Comm. Pure Appl. Analysis, vol. 12 n. 5, 2203-2211, 2013 (.pdf).
  15. Convergence of a semidiscrete scheme for a forward-backward parabolic equation,
    G. Bellettini, C. Geldhauser and M. Novaga,
    Advances Differential Equations, vol. 18 n. 5/6, 495-522, 2013 (.pdf).
  16. A symmetry result for the Ornstein-Uhlenbeck operator,
    A. Cesaroni, M. Novaga and E. Valdinoci,
    to appear on Discrete Contin. Dyn. Syst. A (.pdf).
  17. Plane-like minimizers and differentiability of the stable norm,
    A. Chambolle, M. Goldman and M. Novaga,
    to appear on J. Geometric Anal. (.pdf).
  18. Symmetry results for nonlinear elliptic operators with unbounded drift,
    A. Farina, M. Novaga and A. Pinamonti,
    Preprint, 2013 (.pdf).
  19. Gamma-type estimates for the one-dimensional Allen-Cahn's action,
    G. Bellettini, A. Nayam and M. Novaga,
    Preprint, 2013 (.pdf).

Torna alla Pagina principale