KMS Of Academy of mathematics and systems sciences, CAS
| LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS | |
Guo, Bao-Zhu1,2 ; Zhang, Liang2,3
| |
| 2016-03-01 | |
| Source Publication | MATHEMATICAL CONTROL AND RELATED FIELDS
 |
| ISSN | 2156-8472 |
| Volume | 6Issue:1Pages:143-165 |
| Abstract | In this paper, we study controllability for a parabolic system of chemotaxis. With one control only, the local exact controllability to positive trajectory of the system is obtained by applying Kakutani's fixed point theorem and the null controllability of associate dlinearized parabolic system. The positivity of the state is shown to be remained in the state space. The control function is shown to be in L infinity (Q), which is estimated by using the methods of maximal regularity and L-p-L-q estimate for parabolic equations. |
| DOI | 10.3934/mcrf.2016.6.143 |
| Language | 英语 |
| Funding Project | Program for Innovative Research Teamin UIBE ; National Natural Science Foundation of China ; National Research Foundation of South Africa ; National Science Foundation of China[11201358] ; Natural Science Foundation of Hubei Province[2014CFB337] ; Fundamental Research Funds for the Central Universities[WUT:2014-ia-011] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000369599900006 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22069 |
| Collection | 系统科学研究所 |
| Corresponding Author | Zhang, Liang |
| Affiliation | 1.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa 3.Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China |
| Recommended Citation GB/T 7714 | Guo, Bao-Zhu,Zhang, Liang. LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS[J]. MATHEMATICAL CONTROL AND RELATED FIELDS,2016,6(1):143-165. |
| APA | Guo, Bao-Zhu,&Zhang, Liang.(2016).LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS.MATHEMATICAL CONTROL AND RELATED FIELDS,6(1),143-165. |
| MLA | Guo, Bao-Zhu,et al."LOCAL EXACT CONTROLLABILITY TO POSITIVE TRAJECTORY FOR PARABOLIC SYSTEM OF CHEMOTAXIS".MATHEMATICAL CONTROL AND RELATED FIELDS 6.1(2016):143-165. |
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