Asymptotic analysis of thermoelastic systems with Gurtin-Pipkin thermal law
Abstract:
We provide a comprehensive stability analysis of the thermoelastic Timoshenko and Bresse systems. In particular, assuming a temperature evolution of Gurtin Pipkin type, we establish a necessary and sufficient condition for exponential stability in terms of the structural parameters of the problem. As a byproduct, a complete characterization of the longtime behavior of Timoshenko and Bresse systems with Fourier, Maxwell-Cattaneo and Coleman-Gurtin thermal laws is obtained.
04.11.14
09:00
Minsuk Yang
( KIAS )
Existence and uniqueness for the magnetohydrodynamic equations in the Besov space
Abstract:
We consider the Cauchy problem of the incompressible magnetohydrodynamic equations with no magnetic diffusion term in three spatial dimension. This model appears in astrophysics. We consider existence and uniqueness when the initial data are in a certain homogeneous Besov space. For this purpose, we shall review some of the basic facts in harmonic analysis. This is a joint work with Hi Jun Choe.