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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1850219760972726272 |
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| author | Jie Wu Li Zhao Heping Pan |
| author_facet | Jie Wu Li Zhao Heping Pan |
| author_sort | Jie Wu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7a104a46e05a408283acbf2ee1584fe3 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7a104a46e05a408283acbf2ee1584fe32025-08-20T02:07:16ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/51304095130409Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular SensitivityJie Wu0Li Zhao1Heping Pan2College of Computer, Chengdu University, Chengdu 610106, ChinaInternational College of Digital Innovation, Chiang Mai University, Chiang Mai 50000, ThailandChinese Cooperative Innovation Center for Intelligent Finance, Chengdu University, Chengdu 610106, ChinaIn 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.http://dx.doi.org/10.1155/2021/5130409 |
| spellingShingle | Jie Wu Li Zhao Heping Pan Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity Advances in Mathematical Physics |
| title | Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity |
| title_full | Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity |
| title_fullStr | Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity |
| title_full_unstemmed | Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity |
| title_short | Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity |
| title_sort | boundedness and asymptotic behavior to a chemotaxis system with indirect signal generation and singular sensitivity |
| url | http://dx.doi.org/10.1155/2021/5130409 |
| work_keys_str_mv | AT jiewu boundednessandasymptoticbehaviortoachemotaxissystemwithindirectsignalgenerationandsingularsensitivity AT lizhao boundednessandasymptoticbehaviortoachemotaxissystemwithindirectsignalgenerationandsingularsensitivity AT hepingpan boundednessandasymptoticbehaviortoachemotaxissystemwithindirectsignalgenerationandsingularsensitivity |