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arXiv · 1511.03200

On the system of elastic-gravitational equations describing the oscillations of the earth

Maarten V. de Hoop·Sean Holman·Ha Pham
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Abstract

The linear equations of motion of a uniformly rotating, elastic and self-gravitating earth model are analyzed under minimal regularity assumptions. We present existence and uniqueness results for the system, energy estimates, convergence of Galerkin approximations, and propose a method based on a Volterra equation to deal with the nonlocal self-gravitation.

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Maarten V. de Hoop, Sean Holman, Ha Pham. 2017-04-11. On the system of elastic-gravitational equations describing the oscillations of the earth. https://arxiv.org/abs/1511.03200

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