Showing math.APShow all
2 papers · 1 filter
math.AP2024
Stationary non-radial localized patterns in the planar Swift-Hohenberg PDE: constructive proofs of existence
Matthieu Cadiot, Jean-Philippe Lessard, Jean-Christophe Nave
In this paper, we present a methodology for establishing constructive proofs of existence of smooth, stationary, non-radial localized patterns in the planar Swift-Hohenberg equatio…
math.AP2024
Viscous shock waves of Burgers equation with fast diffusion and singularity
Shufang Xu, Ming Mei, Jean-Christophe Nave +1
In this paper, we study the asymptotic stability of viscous shock waves for Burgers' equation with fast diffusion on when…