3 papers
math.AP2022
Convergence in relative error for the Porous Medium equation in a tube
Alessandro Audrito, Alejandro Gárriz, Fernando Quirós
Given a bounded domain and , we study the long-time behaviour of solutions to the Porous Medium equation (PME) posed in a tube \[ \partial_tu = Δu^m…
math.AP2019
Coupling local and nonlocal evolution equations
Alejandro Gárriz, Fernando Quirós, Julio D. Rossi
We prove existence, uniqueness and several qualitative properties for evolution equations that combine local and nonlocal diffusion operators acting in different subdomains and cou…
math.AP2018
Propagation of solutions of the Porous Medium Equation with reaction and their travelling wave behaviour
Alejandro Gárriz
We consider reaction-diffusion equations of porous medium type, with different kind of reaction terms, and nonnegative bounded initial data. For all the reaction terms under consid…