Sastanak Odeljenja za matematiku, 29. oktobar 2010.

• 25. Oktobar,  2010
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Detaljnije: Naredni sastanak Odeljenja za matematiku održaće se u petak, 29. oktobra, u 14 časova u sali 2 SANU.

Predavač: Prof Gunther Hormann, Matematički fakultet, Univerzitet u Beču

Naziv predavanja: 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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