133 citations · 184 across the 9 of their papers we have counts for
10 papers
Asymptotics for two-dimensional vectorial Allen-Cahn systems
Fabrice Bethuel
The formation of codimension-one interfaces for multi-well gradient-driven problems is well-known and established in the scalar case, where the equation is often referred to as the…
Concentration sets for multiple equal-depth wells potentials in the 2D elliptic case
Fabrice Bethuel
The formation of codimension-one interfaces for multiwell gradient-driven problems is well-known and established in the scalar case, where the equation is often referred to as the…
A new obstruction to the extension problem for Sobolev maps between manifolds
Fabrice Bethuel
The main result of the present paper, combined with earlier results of Hardt and Lin settles the extension problem for , where and $\m…
A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces
Fabrice Bethuel
The present paper presents a counterexample to the sequentially weak density of smooth maps between two manifolds and in the Sobolev space , in the case $p…
The motion law of fronts for scalar reaction-diffusion equations with multiple wells : the degenerate case,
Fabrice Bethuel, Didier Smets
We derive a precise motion law for fronts of solutions to scalar one-dimensional reaction-diffusion equations with equal depth multiple-wells, in the case the second derivative of…
Slow motion for gradient systems with equal depth multiple-well potentials
Fabrice Bethuel, Didier Smets, Giandomenico Orlandi
For scalar reaction-diffusion in one space dimension, it is known for a long time that fronts move with an exponentially small speed for potentials with several distinct mini- mize…