Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 5, Pages 2191-2199Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2011.06.039
Keywords
Low-dimensional dynamical reduction; Convection; Porous medium; Stability; Number of degrees of freedom
Categories
Funding
- NSF [PHY-0855335, DMS-0927587, DMS-0928098]
- ONR
- Direct For Mathematical & Physical Scien [0927587, 0855335] Funding Source: National Science Foundation
- Division Of Mathematical Sciences [0927587] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0928098] Funding Source: National Science Foundation
- Division Of Physics [0855335] Funding Source: National Science Foundation
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New rigorous upper bounds on the enhancement of heat transport in a fundamental model of porous medium convection are presented. The computational results are applied to the development of finite dimensional dynamical systems models of porous medium convection. The number of degrees of freedom in the full dynamics and the dimension of potentially faithful reduced descriptions are discussed. (C) 2011 Elsevier B.V. All rights reserved.
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