Geodesic

Sommaire du Fascicule no. 1

Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem
p. 1-28
Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
p. 29-53
Geometric properties of Bernoulli-type minimizers
p. 55-78
American options and the free boundary exercise region: a PDE approach
p. 79-98
Critical size of crystals in the plane
p. 99-105
Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy
p. 107-129

Sommaire du Fascicule no. 2

Weakly nonlinear asymptotics of the kappa-theta model of cellular flames: the Q-S equation
p. 131-146
Global existence of solutions for a free boundary problem modeling the growth of necrotic tumors
p. 147-159
Level set methods to compute minimal surfaces in a medium with exclusions (voids)
p. 161-185
An upper bound on the coarsening rate for mushy zones in a phase-field model
p. 187-197
Sharp-interface model for eutectic alloys. Part I: Concentration dependent surface tension
p. 199-227

Sommaire du Fascicule no. 3

An algorithm for the elastic flow of surfaces
p. 229-239
2-Dimensional flat curvature flow of crystals
p. 241-254
A system of degenerate parabolic nonlinear PDE's: a new free boundary problem
p. 255-276
A coupled level set-boundary integral method for moving boundary simulations
p. 277-302
Geometric evolutions driven by threshold dynamics
p. 303-318
The $N$-membranes problem for quasilinear degenerate systems
p. 319-337
Regularity of minimizers of quasi perimeters with a volume constraint
p. 339-352

Sommaire du Fascicule no. 4

A discrete scheme for regularized anisotropic surface diffusion: a 6th order geometric evolution equation
p. 353-370
Structure of Korteweg models and stability of diffuse interfaces
p. 371-414
Existence and uniqueness for dislocation dynamics with nonnegative velocity
p. 415-434
Phase field modeling and simulation of three-phase flows
p. 435-466