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Blow-Up Solution in Logarithmic Sensitivity and Indirect Signal Generation Keller–Segel System.
- Source :
-
Mathematical Problems in Engineering . 10/28/2022, Vol. 2022, p1-9. 9p. - Publication Year :
- 2022
-
Abstract
- In this paper, we consider the following indirect signal generation and logarithmic sensitivity ε n t = Δ n − χ ∇ · n ∇ ln c x ∈ Ω , t > 0 c t = Δ c − c + w x ∈ Ω , t > 0 w t = Δ w − w + n x ∈ Ω , t > 0 under homogeneous Neumann boundary conditions in a ball domain Ω ⊂ R N N ≥ 4 with smooth boundary ∂ Ω. This paper considers in the singular limit ε ⟶ 0 ; the result comes from the finite time blow-up of arbitrary large values of n in the corresponding nonlocal scalar parabolic equation case when N ≥ 4 and χ > 2 N / N − 2. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BLOWING up (Algebraic geometry)
*NEUMANN boundary conditions
Subjects
Details
- Language :
- English
- ISSN :
- 1024123X
- Volume :
- 2022
- Database :
- Academic Search Index
- Journal :
- Mathematical Problems in Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 159949797
- Full Text :
- https://doi.org/10.1155/2022/8573835