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

2015/11/10 by Maarten V. de Hoop, de Hoop, Maarten V., Sean Holman +3
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1511.03200

arxiv created 2017/04/11 · arxiv updated 2017/04/12

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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