TY - JOUR
T1 - A note on the blow-up of solutions to the two-dimensional Keller-Segel model with tensorial flux
AU - Cuentas, Valeria
AU - Espejo, Elio
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.
PY - 2025/3
Y1 - 2025/3
N2 - In the past decade, there has been much interest in analyzing Keller-Segel models with tensorial flux. However, it is yet not well understood whether there are solutions that blow-up in a finite amount of time. We aim to prove the possibility of having solutions blowing up in finite time when having a tensorial flux of the form A∇v, where A represents an arbitrary matrix with constant components satisfying Tr(A),det(A)>0.
AB - In the past decade, there has been much interest in analyzing Keller-Segel models with tensorial flux. However, it is yet not well understood whether there are solutions that blow-up in a finite amount of time. We aim to prove the possibility of having solutions blowing up in finite time when having a tensorial flux of the form A∇v, where A represents an arbitrary matrix with constant components satisfying Tr(A),det(A)>0.
UR - http://www.scopus.com/inward/record.url?scp=85217469116&partnerID=8YFLogxK
U2 - 10.1007/s00030-024-01019-1
DO - 10.1007/s00030-024-01019-1
M3 - Article
AN - SCOPUS:85217469116
SN - 1021-9722
VL - 32
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
IS - 2
M1 - 18
ER -