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Existence of long-time solutions to dynamic problems of viscoelasticity with rate-and-state friction
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We establish existence of long-time solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate-and-state friction. The term rate-and-state friction is used here to refer to a set of functions and equations satisfying conditions which rule out the slip law but do cover the ageing law, and thus at least one of the rate-and-state friction laws commonly used in the geosciences.
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Analysis of dynamic ruptures generating seismic waves in a self-gravitating planet: an iterative coupling scheme and well-posedness
The paper proposes and analyzes an iterative scheme for elastic-gravitational rupture dynamics with rate-and-state friction, claiming existence and uniqueness for the viscous regularized problem, but the proof relies ...
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