2 papers
math.AP2021
On the one dimensional Logarithmic diffusion equation with nonlinear Robin boundary conditions
Jean Cortissoz, César Reyes
In this paper we investigate the one dimensional (1D) logarithmic diffusion equation with nonlinear Robin boundary conditions, namely, \[ \left\{ \begin{array}{l} \partial_t u=\par…
math.AP2018
Stability of geometric flows on the circle
Jean C. Cortissoz, César A. Reyes
In this paper we prove a general stability result for higher order geometric flows on the circle, which basically states that if the initial condition is close to a round circle, t…