For more information about this meeting, contact Becky Halpenny.
| Title: | "Topics on Stability of Complex Fluid Models" |
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| Seminar: | Ph.D. Thesis Defense |
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| Speaker: | Xiang Xu, Adviser: Chun Liu, Penn State |
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| Abstract: |
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| In this thesis, we study analytical problems related to two models in the hydrodynamics
of complex fluids. The first is the general Ericksen-Leslie system, which models
nematic liquid crystal flow, while the latter is a diffuse-interface model for the mixture
of two incompressible fluids. Both models are based on a special coupling between the
induced elastic stress and transport property of microstructures. Both models can be derived
in the energetic variational framework which demonstrates the consistent exchange
of the kinetic energy of the fluid and internal energy due to elastic effects.
For the general Ericksen-Leslie system, in both the two and three dimensional cases,
we develop the existence theory for global classical solutions with various assumptions
on physical relations between viscosity coefficients. Meanwhile, we study the asymptotic
behavior of global bounded solutions as time goes to infinity and show that the asymptotic
limit is unique. More importantly, we reveal the various roles of physical relations on
corresponding analytical results. For the diffuse-interface model, within the study of
axisymmetric solutions, we construct perturbations to near infinite-energy solutions. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 04 / 19 / 2011 |
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| Time: | 08:00am - 09:44am |
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