1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
Global existence and decay of small solutions in a viscous half Klein-Gordon equation
Louis Garénaux, Björn de Rijk
We establish global existence and decay of solutions of a viscous half Klein-Gordon equation with a quadratic nonlinearity considering initial data, whose Fourier transform is smal…
math.AP2021
Nonlinear convective stability of a critical pulled front undergoing a Turing bifurcation at its back: a case study
Louis Garénaux
We investigate a specific reaction-diffusion system that admits a monostable pulled front propagating at constant critical speed. When a small parameter changes sign, the stable eq…
math.AP2020★ 1 cited
Spectral stability of the critical front in the extended Fisher-KPP equation
Montie Avery, Louis Garénaux
We revisit the existence and stability of the critical front in the extended Fisher-KPP equation, refining earlier results of Rottschäfer and Wayne [28] which establish stability o…