5 citations · 5 across the 2 of their papers we have counts for
2 papers
math.AP2023
Stability analysis of a linear system coupling wave and heat equations with different time scales
Gonzalo Arias, Eduardo Cerpa, Swann Marx
In this paper we consider a system coupling a wave equation with a heat equation through its boundary conditions. The existence of a small parameter in the heat equation, as a fact…
math.AP2023★ 5 cited
Frequency domain approach for the stability analysis of a fast hyperbolic PDE coupled with a slow ODE
Gonzalo Arias, Swann Marx, Guilherme Mazanti
This paper deals with the exponential stability of systems made of a hyperbolic PDE coupled with an ODE with different time scales, the dynamics of the PDE being much faster than t…