Prépublications MICA
Une demande de financement sur le thème Mouvements d'Interfaces,
Calcul et Applications a été faite auprès de l'ANR en 2006 par des équipes
du CMAP,
du Laboratoire
de Mathématiques de l'Université de Brest,
du Laboratoire de Mathématiques et
Physique Théorique de Tours,
et du CERMICS à Marne-la-vallée. Cette page contient une
liste de prépublications de ces équipes sur ce thème.
- O. Alvarez, E. Carlini, R. Monneau and E. Rouy,
A convergent scheme for a non local Hamilton Jacobi equation modelling
dislocation dynamics, submitted to Numerische Mathematik.
- O. Alvarez, P. Hoch, Y. Le Bouar et R. Monneau.
Dislocation dynamics: short time existence and uniqueness of the solution.
Preprint.
(pdf)
- P. Cardaliaguet, F. Da Lio, N. Forcadel and R. Monneau,
Dislocation dynamics : a non-local moving boundary, submitted to the Proceedings of the Conference FBP 2005, Coimbra, Portugal.
- N. Forcadel,
Dislocations dynamics with a mean curvature term: short time existence
and uniqueness .
- E. Carlini, E. Cristiani and N. Forcadel,
A non-monotone Fast Marching scheme for a Hamilton-Jacobi equation
modeling dislocation dynamics.
- C. Imbert and R. Monneau,
Homogenization of first order equations with u/epsilon-periodic
Hamiltonians. Part I: local equations.
- A. Ghorbel and R. Monneau, Well-posedness and numerical analysis of a
one-dimensional non-local transport equation modelling dislocations
dynamics, submitted to Journal of Scientific Computing.
- F. Da Lio, N. Forcadel and R. Monneau, Convergence of a non-local eikonal
equation to anisotropic mean curvature motion. Application to
dislocations dynamics , submitted to Journal of the European Mathematical Society.
- G. Barles and O. Ley: Nonlocal first-order Hamilton-Jacobi equations modelling dislocations dynamics. (Abstract)-(pdf).
- S. Biton, P. Cardaliaguet and O. Ley:
Non fattening condition for the
generalized evolution by mean curvature and
applications. Submitted. (Abstract)-
(pdf)-(ps)
- P. Cardaliaguet, O. Ley: (pdf) On some flows in shape optimization To appear in Arch. Rat. Mec. Anal.
- O. Alvarez, P. Cardaliaguet and R. Monneau: (pdf) Existence and uniqueness for dislocation dynamics with nonnegative velocity (with O. Alvarez and R. Monneau). To appear in Interfaces Free Bound.
- P. Cannarsa and P. Cardaliaguet: Perimeter estimates for reachable sets of control systems. To appear in J. Conv. Anal.
- P. Cardaliaguet and C. Marchi: Regularity of eikonal equation with Neumann boundary conditions in the plane: application to fronts with nonlocal terms.
- P. Cardaliaguet and E. Rouy (pdf) Viscosity solutions of Hele-Shaw moving boundary problem for power-law fluid To appear in SIAM Math. Anal.
- P. Cannarsa, P. Cardaliaguet, E. Giorgeri: Hölder regularity of the normal distance with an application to a PDE model for growing sandpiles. To Appear in Trans. AMS.
- A. Chambolle et M. Novaga: Approximation of the anisotropic mean curvature flow. (Preprint CMAP
n° 587, soumis.)
- A. Chambolle et M. Solci: Interaction of a bulk and a surface energy with
a geometrical constraint. (Preprint CMAP
n° 584, soumis.)
- V. Caselles, A. Chambolle, S. Moll and M. Novaga:
A characterization of convex calibrable sets in RN with respect to anisotropic norms,
Preprint Univ. di Pisa, 2005
- A. Chambolle et M. Novaga: Implicit time discretization of the mean curvature flow with a discontinuous forcing term. (Preprint CMAP
n° 571, soumis.)
- A. Braides, A. Chambolle et M. Solci: A relaxation result for energies defined on pairs set-function and applications. (Preprint CMAP
n° 590, soumis.)
- G. Allaire, O. Pantz,
Structural Optimization with FreeFem++,
to appear in SMO.
586.pdf
- F. de Gournay, G. Allaire, F. Jouve,
Shape and topology optimization of the robust compliance
via the level set method,
submitted
593.pdf.