Work

Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling

Year: 2026

Type: article

Abstract: Singular limits for the following indirect signalling chemotaxis system $$\begin{aligned} \left\{ \begin{array}{lllllll} \partial _t n = \Delta n - \nabla \cdot (n \nabla c ) & \text {in } \Omega \times (0,\infty ) , \\ \varepsilon \partial _t c = \Delta c - c + w & \text {in } \Omega \times (0,\infty ), \\ \varepsilon \partial _t w = \tau \Delta w - w + n & \text {in } \Omega \times (0,\infty ), \\ \partial _\nu n = \partial _\nu c = \partial _\nu w = 0, & \text {on } \partial \Omega \times (0,\infty ) \end{array} \right. \end{aligned}$$ ∂ t n = Δ n - ∇ · ( n ∇ c ) in Ω × ( 0 , ∞ ) , ε ∂ t c = Δ c - c + w in Ω × ( 0 , ∞ ) , ε ∂ t w = τ Δ w - w + n in Ω × ( 0 , ∞ ) , ∂ ν n = ∂ ν c = ∂ ν w = 0 , on ∂ Ω × ( 0 ,

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03247-4

Authors: Le Trong Thanh Bui, Thi Kim Loan Huynh, Bao Quoc Tang, Bao-Ngoc Tran