On a micro‐macro model for polymeric fluids near equilibrium |
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| Authors: | Fang‐Hua Lin Chun Liu Ping Zhang |
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| Institution: | 1. Courant Institute, 251 Mercer Street, New York, NY 10012;2. Department of Mathematics, Pennsylvania State University, State College, PA 16802;3. Academy of Mathematics and System Science, Chinese Academy of Science, Beijing 100080, China |
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| Abstract: | In this paper, we study a micro‐macro model for polymeric fluid. The system involves coupling between the macroscopic momentum equation and a microscopic evolution equation describing the combined effects of the microscopic potential and thermofluctuation. We employ an energetic variation procedure to explore the relation between the macroscopic transport of the particles and the induced elastic stress due to the microscopic structure. For the initial data not far from the equilibrium, we prove the global existence and uniqueness of classical solutions to the system. © 2006 Wiley Periodicals, Inc. |
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