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dc.contributor.advisor Wang, Shouhong en Park, Jungho en 2010-06-01T19:24:18Z en 2027-02-01T20:24:18Z en 2010-06-09T14:07:16Z 2010-06-01T19:24:18Z en 2007 en
dc.identifier.uri en
dc.description Thesis (PhD) - Indiana University, Mathematics, 2007 en
dc.description.abstract My dissertation is to study the bifurcation, stability and phase transitions of incompressible fluid flows. Bifurcation is a versatile methodology to trace solutions of physical problems along with the system parameter and to investigate their structure. The study is oriented toward a nonlinear dynamic theory for the underlying physical problems consisting of 1)complete bifurcation when the system parameter crosses some critical values, 2)asymptotic stability of bifurcated solutions and 3)the structure/pattern of the bifurcated solutions and phase transitions in the physical spaces. The study in the first two directions is related to application of a new bifurcation theory, called attractor bifurcation, which was developed by T. Ma and S. Wang. The third direction of the study is related to geometric study of fluid flows and includes structural stability theory. en
dc.language.iso EN en
dc.publisher [Bloomington, Ind.] : Indiana University en
dc.subject Infinite Prandtl number en
dc.subject bifurcation en
dc.subject fluid dynamics en
dc.subject stability en
dc.subject Benard Convection en
dc.subject Ginzburg-Landau equation en
dc.subject.classification Mathematics en
dc.title Bifurcation and Stability Problems in Fluid Dynamics en
dc.type Doctoral Dissertation en

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