期刊
INDIANA UNIVERSITY MATHEMATICS JOURNAL
卷 61, 期 1, 页码 45-80出版社
INDIANA UNIV MATH JOURNAL
DOI: 10.1512/iumj.2012.61.4518
关键词
diffusion; advection; smallest eigenvalue; asymptotic behavior
类别
资金
- National Science Foundation [DMS-1008905, DMS-1021179]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1008905, 1021179] Funding Source: National Science Foundation
We investigate the effects of diffusion and advection on the smallest eigenvalue of an elliptic operator with zero Neumann boundary condition. Various asymptotic behaviors of the smallest eigenvalue, as diffusion and advection coefficients approach zero or infinity, are derived. As an application, these qualitative results yield new insight into the role of turbulent diffusion on the persistence of a sinking phytoplankton species.
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