dc.contributor.author | Sanchez, Ariel | |
dc.contributor.author | Iagar, Razvan Gabriel | |
dc.date.accessioned | 2024-02-07T08:38:03Z | |
dc.date.available | 2024-02-07T08:38:03Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Iagar, R.G., Sánchez, A. Self-similar Blow-Up Profiles for a Reaction–Diffusion Equation with Critically Strong Weighted Reaction. J Dyn Diff Equat 34, 1139–1172 (2022). https://doi.org/10.1007/s10884-020-09920-w | es |
dc.identifier.issn | 1040-7294 | |
dc.identifier.uri | https://hdl.handle.net/10115/29827 | |
dc.description.abstract | We classify the self-similar blow-up profiles for the following reaction–diffusion equation
with critical strong weighted reaction and unbounded weight:
∂tu = ∂x x (um) + |x|
σ u p,
posed for x ∈ R, t ≥ 0, where m > 1, 0 < p < 1 such that m+ p = 2 and σ > 2 completing
the analysis performed in a recent work where this very interesting critical case was left aside.
We show that finite time blow-up solutions in self-similar form exist for σ > 2. Moreover
all the blow-up profiles have compact support and their supports are localized: there exists
an explicit η > 0 such that any blow-up profile satisfies supp f ⊆ [0, η]. This property is
unexpected and contrasting with the range m+ p > 2. We also classify the possible behaviors
of the profiles near the origin. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Reaction–diffusion equations · Weighted reaction · Blow-up · Self-similar solutions · Phase space analysis · Strong reaction | es |
dc.title | Self-similar Blow-Up Profiles for a Reaction–Diffusion Equation with Critically Strong Weighted Reaction | es |
dc.type | info:eu-repo/semantics/article | es |
dc.identifier.doi | 10.1007/s10884-020-09920-w | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |