71 citations · 460 across the 61 of their papers we have counts for
6 papers · 2 filters
Large time behavior and Lyapunov functionals for a nonlocal differential equation
Danielle Hilhorst, Philippe Laurençot, Thanh-Nam Nguyen
A new approach is used to describe the large time behavior of the non-local differential equation initially studied in [3]. Our approach is based upon the existence of infinitely m…
Instantaneous shrinking and single point extinction for viscous Hamilton-Jacobi equations with fast diffusion
Razvan Gabriel Iagar, Philippe Laurençot, Christian Stinner
For a large class of non-negative initial data, the solutions to the quasilinear viscous Hamilton-Jacobi equation in …
Finite speed of propagation and waiting time for a thin film Muskat problem
Philippe Laurençot, Bogdan-Vasile Matioc
Finite speed of propagation is established for non-negative weak solutions to a thin film approximation of the two-phase Muskat problem. The temporal expansion rate of the support…
On a three-dimensional free boundary problem modeling electrostatic mems
Philippe Laurencot, Christoph Walker
We consider the dynamics of an electrostatically actuated thin elastic plate being clamped at its boundary above a rigid plate. The model includes the harmonic electrostatic potent…
The Fokker-Planck equation for bosons in 2D: well-possedness and asymptotic analysis
José A. Cañizo, José A. Carrillo, Philippe Laurençot +1
We show that solutions of the 2D Fokker-Planck equation for bosons are defined globally in time and converge to equilibrium, and this convergence is shown to be exponential for rad…
Large time behavior for a quasilinear diffusion equation with critical gradient absorption
Razvan Gabriel Iagar, Philippe Laurençot
We study the large time behavior of non-negative solutions to the nonlinear diffusion equation with critical gradient absorption $$\partial\_t u - Δ\_{p}u + |\nabla u|^{q\_*} = 0 \…