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dc.contributor.advisor Wang, Shouhong en_US Park, Jungho en_US 2010-06-01T19:24:18Z 2027-02-01T20:24:18Z 2010-06-09T14:07:16Z 2010-06-01T19:24:18Z 2007 en_US
dc.description Thesis (PhD) - Indiana University, Mathematics, 2007 en_US
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_US
dc.language.iso EN en_US
dc.publisher [Bloomington, Ind.] : Indiana University en_US
dc.subject Infinite Prandtl number en_US
dc.subject bifurcation en_US
dc.subject fluid dynamics en_US
dc.subject stability en_US
dc.subject Benard Convection en_US
dc.subject Ginzburg-Landau equation en_US
dc.subject.classification Mathematics en_US
dc.title Bifurcation and Stability Problems in Fluid Dynamics en_US
dc.type Doctoral Dissertation en_US

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