Geodesic

Sommaire du Fascicule no. 1

On the Bernoulli free boundary problem and related shape optimization problems
p. 1-13
A diffusion-convection problem with drainage arising in the ecology of mangroves
p. 15-44
Three-phase boundary motion by surface diffusion: stability of a mirror symmetric stationary solution
p. 45-80
On the continuity of the free boundary in some class of two-dimensional problems
p. 81-99
The Cahn-Hilliard equation with elasticity-finite element approximation and qualitative studies
p. 101-118

Sommaire du Fascicule no. 2

An obstacle-problem-like equation with two phases: pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary
p. 121-128
Quasistationary problem for a cracked body with electrothermoconductivity
p. 129-142
A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions
p. 143-199
Mathematical analysis of phase-field equations with numerically efficient coupling terms
p. 201-212
Configurational balances via variational arguments
p. 323-332

Sommaire du Fascicule no. 3

Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity
p. 233-264
Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments
p. 265-290
A free-boundary model for diffusion-induced grain boundary motion
p. 291-336
Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem
p. 337-344
Asymptotic evolution of lipid vesicles
p. 345-360

Sommaire du Fascicule no. 4

Metastability in a flame front evolution equation
p. 361-392
Numerical diffusion-induced grain boundary motion
p. 393-414
Characterization of facet breaking for nonsmooth mean curvature flow in the convex case
p. 415-446
Unidirectional steady flow of a viscoelastic fluid with a free surface
p. 447-463
Roughness in surface growth equations
p. 465-484