Ariel G. S'anchez

most citedBlow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension

3 citations · 3 across the 3 of their papers we have counts for

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math.AP2022★ 3 cited

Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension

Razvan Gabriel Iagar, Marta Latorre, Ariel Sánchez

We classify all the blow-up solutions in self-similar form to the following reaction-diffusion equation $\partial_{t} u = Δ u^{m} + ∣ x ∣^{σ} u^{p},$ posed for $(x, t) \in ℜ^{N} \times (0, T)$ , wit…

math.AP2022

A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential

Razvan Gabriel Iagar, Ariel Sánchez

Existence and uniqueness of a specific self-similar solution is established for the following reaction-diffusion equation with Hardy singular potential $$ \partial_tu=Δu^m+|x|^{-2}…

math.AP2022

Self-similar shrinking of supports and non-extinction for a nonlinear diffusion equation with spatially inhomogeneous strong absorption

Razvan Gabriel Iagar, Philippe Laurençot, Ariel Sánchez

We study the dynamics of the following porous medium equation with strong absorption $\partial_{t} u = Δ u^{m} - ∣ x ∣^{σ} u^{q},$ posed for $(t, x) \in (0, \infty) \times R^{N}$ , with $m…