Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity
In this paper, we consider the following indirect signal generation and singular sensitivity nt=Δn+χ∇⋅n/φc∇c, x∈Ω,t>0,ct=Δc−c+w, x∈Ω,t>0,wt=Δw−w+n, x∈Ω,t>0, in a bounded domain Ω⊂RNN=2,3 with smooth boundary ∂Ω. Under the nonflux boundary conditions for n, c, and w, we first eliminate the s...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5130409 |
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| Summary: | In this paper, we consider the following indirect signal generation and singular sensitivity nt=Δn+χ∇⋅n/φc∇c, x∈Ω,t>0,ct=Δc−c+w, x∈Ω,t>0,wt=Δw−w+n, x∈Ω,t>0, in a bounded domain Ω⊂RNN=2,3 with smooth boundary ∂Ω. Under the nonflux boundary conditions for n, c, and w, we first eliminate the singularity of φc by using the Neumann heat semigroup and then establish the global boundedness and rates of convergence for solution. |
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| ISSN: | 1687-9120 1687-9139 |