List of publications

Marc DAMBRINE


Frontpage     Curriculum Vitae     Publications in chronological order     Showcase in shape optimization

Publications by themes


Shape Optimization     Optimization in finite dimension     Numerical analysis of PDEs     Inverse problems     PDEs and asymptotic analysis of solutions of PDEs


PDEs and asymptotic analysis of solutions of PDEs

  1. M.Dambrine, V. Bonnaillie-Noël, M. Dalla Riva and P. Musolino.
    Global representation and multi-scale expansion for the Dirichlet problem in a domain with a small hole close to the boundary.
    Communications in Partial Differential Equations Volume 46,Pages 282-309, 2021.

  2. M. Dambrine, B. Puig, and G. Vallet.
    A mathematical model for marine dinoflagellates blooms.
    DCDS-S Discrete & Continuous Dynamical Systems - S, doi: 10.3934/dcdss.2020424

  3. V. Bonnaillie-Noël, M. Dalla Riva, M. Dambrine, and P. Musolino.
    A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary.
    Journal des Mathématiques Pures et Appliquées, 116 :211-267, 2018.

  4. V. Bonnaillie-Noël, M. Dambrine, and C. Lacave.
    Interactions between moderately close inclusions for the two-dimensional Dirichlet-Laplacian.
    Applied Mathematics Research eXpress, 2016(1) :1-23, 2016.17

  5. V. Bonnaillie-Noël and M. Dambrine.
    Interactions between moderately close circular inclusions : The Dirichlet-Laplace equation in the plane.
    Asymptotic Analysis, 84(3-4) :197-227, 2013.

  6. M. Dambrine and D. Kateb.
    Persistency of wellposedness of Ventcel's boundary value problem under shape deformations.
    Journal of Mathematical Analysis and Applications, 394(1) :129-138, 2012.

  7. C. Amrouche, M. Dambrine, and Y. Raudin.
    An Lp theory of linear elasticity in the half-space.
    Journal of Differential Equations, 253(3) :906-932, 2012.

  8. V. Bonnaillie-Noël, M. Dambrine, F. Hérau, and G. Vial.
    On generalized Ventcel'stype boundary conditions for Laplace operator in a bounded domain.
    SIAM Journal on Mathematical Analysis, 42(2) :931-945, 2010.

  9. V. Bonnaillie-Noël, M. Dambrine, S. Tordeux, and G. Vial.
    Interactions between moderately close inclusions for the Laplace equation.
    Mathematical Models and Methods in Applied Sciences, 19(10) :1853-1882, 2009.

  10. M. Dambrine and G. Vial.
    A multiscale correction method for local singular perturbations of the boundary.
    Mathematical Modelling and Numerical Analysis, 41(1) :111-127, 2007.

  11. V. Bonnaillie-Noël, M. Dambrine, S. Tordeux, and G. Vial.
    On moderately close inclusions for the Laplace equation.
    C. R. Math. Acad. Sci. Paris, 345(11) :609-614,2007.

  12. M. Dambrine and G. Vial.
    Influence of a boundary perforation on the Dirichlet energy.
    Control and Cybernetics, 34(1) :117-136, 2005.