activity
20162026
most citedAn explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle

12 citations · 14 across the 4 of their papers we have counts for

collaborators
Showing 2018Show all

2 papers · 1 filter

math.DS2018

Boundary orders and geometry of the signed Thom-Smale complex for Sturm global attractors

Bernold Fiedler, Carlos Rocha

We embark on a detailed analysis of the close relations between combinatorial and geometric aspects of the scalar parabolic PDE \begin{equation}\label{eq:*} u_t = u_{xx} + f(x,u,u_…

math.DS2018★ 12 cited

An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle

Bernold Fiedler, Clodoaldo Grotta-Ragazzo, Carlos Rocha

We construct an explicit Lyapunov function for scalar parabolic reaction-advection-diffusion equations under periodic boundary conditions. We assume the nonlinearity is even in the…