2 papers
math.AP2022
Application of the semigroup theory to a combustion problem in a multi-layer porous medium
E. A. Alarcon, M. R. Batista, A. Cunha +2
This study proved that the Cauchy problem for a one-dimensional reaction-diffusion-convection system is locally and globally well-posed in . The system mo…
math.AP2019
The IVP for the Kuramoto-Sivashinsky equation in low regularity Sobolev spaces
Alysson Cunha, Eduardo Alarcon
In this work, we study the initial-value problem associated with the Kuramoto-Sivashinsky equation. We show that the associated initial value problem is locally and globally well-p…