Састанак Одељења за математику, 29. октобар 2010.
- 25. Октобар, 2010
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Детаљније: Наредни састанак Одељења за математику одржаће се у петак, 29. октобра, у 14 часова у сали 2 САНУ.
Предавач: Проф Gunther Hormann, Математички факултет, Универзитет у Бечу
Назив предавања: ON THE ELASTO-GRAVITATIONAL EQUATIONS OF MOTION FOR THE ROTATING EARTH
Abstract: We discuss the derivation of the equations of motion of a uniformly rotating, elastic, and self-gravitating earth model based on a variational principle and under low regularity assumptions on the material parameters. The underlying geometric-physical assumptions allow for an aspheric, inhomogeneous, and anisotropic earth model with non-C^1 "interior boundaries". Such models and equations lie at the heart of global seismology and the study of the so-called free oscillations of the Earth. We establish existence and uniqueness of solutions to the resulting system of integro - differential equations of motion with spatial Sobolev regularity.
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