[Turkmath:6558] Bogazici Universitesi Carsamba Seminerleri - ilan ekte

[ferit.ozturk at boun.edu.tr]

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Dynamic Transition Theory for Magnetohydrodynamic(MHD) Equations

Taylan Sengul
Indiana University

Date : Wednesday, August 5, 2009
Time : 15:00
Place : TB 250, Bogazici Universitesi

Abstract: First, we will briefly discuss the dynamic transition theory,
recently developed by Ma & Wang. The key philosophy of this theory is
to search for the full set of transition states, giving a complete
characterization on stability and transition. The set of transition states is
represented by a local attractor rather than some steady states or
periodic solutions or other types of orbits as part of this local attractor.
Second, we will describe the dynamic transition of the incompressible
3D-MHD equations in a rectangular domain. The analysis shows that the
system undergoes a first transition either to multiple equilibria or to
periodic solutions. In the case of transition to multiple equilibria, the
transition is type-I (continuous). In the case of transition to periodic
solutions, the transition can be either type-I or type-II (jump).

Tea and coffee will be served at 16:00
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