Geodesic

Sommaire du Fascicule no. 1

A generalized Cahn–Hilliard equation incorporating geometrically linear elasticity
p. 1-27
Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation
p. 29-55
Analysis and simulation of debonding membranes
p. 57-72
Rigorous derivation of the Kuramoto–Sivashinsky equation from a 2D weakly nonlinear Stefan problem
p. 73-103
On the evolution of subcritical regions for the Perona–Malik equation
p. 105-125
A toroidal tube solution to a problem involving mean curvature and Newtonian potential
p. 127-154
On the global minimizers of a nonlocal isoperimetric problem in two dimensions
p. 155-169

Sommaire du Fascicule no. 2

Local simplicity, topology, and sets of finite perimeter
p. 171-189
On the Hölder regularity of the landscape function
p. 191-222
Free boundary regularity for a problem with right hand side
p. 223-238
Interface conditions for limits of the Navier–Stokes–Korteweg model
p. 239-254
The effective energy in the Allen–Cahn model with deformation
p. 255-270
Asymptotic behaviour of a nonlinear parabolic equation with gradient absorption and critical exponent
p. 271-295

Sommaire du Fascicule no. 3

Numerical approximations of the Mumford–Shah functional for unit vector fields
p. 297-326
A semidiscrete scheme for a one-dimensional Cahn–Hilliard equation
p. 327-339
A phase-field approximation of the Willmore flow with volume constraint
p. 341-351
Reconstruction of cracks and material losses by perimeter-like penalizations and phase-field methods: numerical results
p. 353-371
Long-time behavior of a Hele-Shaw type problem in random media
p. 373-395
On support of solutions to singular nonlinear parabolic equations in bounded domains
p. 397-410
Pinning of interfaces in random media
p. 411-421
On the blow-up mechanism of moving boundary problems
p. 423-435

Sommaire du Fascicule no. 4

A duality based semismooth Newton framework for solving variational inequalities of the second kind
p. 437-462
The Muskat problem for a viscoelastic filtration
p. 463-484
Curve shortening flow in heterogeneous media
p. 485-505
Longtime behavior of a diffuse interface model for binary fluid mixtures with shear dependent viscosity
p. 507-530
Distributional equation in the limit of phase transition for fluids
p. 531-554