44 citations · 290 across the 45 of their papers we have counts for
3 papers · 2 filters
Homogenization and enhancement for the G-equation
Pierre Cardaliaguet, James Nolen, Panagiotis E. Souganidis
We consider the so-called G-equation, a level set Hamilton-Jacobi equation, used as a sharp interface model for flame propagation, perturbed by an oscillatory advection in a spatio…
Viscosity solutions for a polymer crystal growth model
Pierre Cardaliaguet, Olivier Ley, Aurélien Monteillet
We prove existence of a solution for a polymer crystal growth model describing the movement of a front evolving with a nonlocal velocity. In this model the nonlocal veloci…
Some flows in shape optimization
Pierre Cardaliaguet, Olivier Ley
Geometric flows related to shape optimization problems of Bernoulli type are investigated. The evolution law is the sum of a curvature term and a nonlocal term of Hele-Shaw type. W…