28 citations · 55 across the 4 of their papers we have counts for
4 papers
Self-similar blow-up profiles for a reaction-diffusion equation with strong weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We study the self-similar blow-up profiles associated to the following second order reaction-diffusion equation with strong weighted reaction and unbounded weight: $$ \partial_tu=\…
Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction
Razvan Gabriel Iagar, Ariel Sánchez
We perform a thorough study of the blow up profiles associated to the following second order reaction-diffusion equation with non-homogeneous reaction: $$ \partial_tu=\partial_{xx}…
Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth
Razvan Iagar, Ariel Sánchez
We study the blow up profiles associated to the following second order reaction-diffusion equation with non-homogeneous reaction: wit…
Selfsimilar Equivalence of Porous Medium and p-Laplacian Flows
Ariel Sanchez, Juan-Luis Vazquez
We demonstrate the equivalence between the two popular models of nonlinear diffusion, the porous medium equation and the p-Laplacian equation. The equivalence is shown at the level…