Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source
Abstract In this paper, we study the following chemotaxis system with a signal-dependent motility and logistic source: { u t = Δ ( γ ( v ) u ) + μ u ( 1 − u α ) , x ∈ Ω , t > 0 , 0 = Δ v − v + u r , x ∈ Ω , t > 0 , u ( x , 0 ) = u 0 ( x ) , x ∈ Ω $$ \textstyle\begin{cases} u_{t}=\Delta {\bigl(...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-08-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-023-01766-7 |