Exponential Stability for a Diffusion Equation in Polymer Kinetic Theory
In this paper we present an exponential stability result for a diffusion equation arising from dumbbell models for polymer flow. Using the methods of semigroup theory, we show that the semigroup U(t) associated with the diffusion equation is well defined and that all solutions converge exponent...
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| Format: | Others |
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Virginia Tech
2014
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| Online Access: | http://hdl.handle.net/10919/30473 http://scholar.lib.vt.edu/theses/available/etd-3340123039731191/ |
| Summary: | In this paper we present an exponential stability result for a
diffusion equation arising from dumbbell models for
polymer flow. Using the methods of semigroup theory, we
show that the semigroup U(t) associated with the diffusion
equation is well defined and that all solutions converge
exponentially to an equilibrium solution. Both finitely and
infinitely extensible dumbbell models are considered. The
main tool in establishing stability is the proof of
compactness of the semigroup. === Ph. D. |
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