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The dynamics of the stochastic shadow Gierer-Meinhardt system
MatthiasWinter1; Lihu Xu2; Jianliang Zhai3; Tusheng Zhang4
2016-01-05
Source PublicationJournal of differential equations
ISSN0022-0396
Volume260Issue:1Pages:84-114
Abstract

We consider the dynamics of the stochastic shadow Gierer Meinhardt system with one-dimensional standard Brownian motion. We establish the global existence and uniqueness of solutions. We also prove a large deviation result.

DOI10.1016/j.jde.2015.08.047
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000373536300004
Scopus ID2-s2.0-84941013831
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Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorLihu Xu
Affiliation1.Department of Mathematics, Brunel University London, Kingston Lane, Uxbridge, Middlesex UB8 3PH, United Kingdom
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, E11 Avenida da Universidade, Taipa, Macau, China
3.School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China
4.School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
MatthiasWinter,Lihu Xu,Jianliang Zhai,et al. The dynamics of the stochastic shadow Gierer-Meinhardt system[J]. Journal of differential equations, 2016, 260(1), 84-114.
APA MatthiasWinter., Lihu Xu., Jianliang Zhai., & Tusheng Zhang (2016). The dynamics of the stochastic shadow Gierer-Meinhardt system. Journal of differential equations, 260(1), 84-114.
MLA MatthiasWinter,et al."The dynamics of the stochastic shadow Gierer-Meinhardt system".Journal of differential equations 260.1(2016):84-114.
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