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Global Well-posedness of Incompressible Elastodynamics in Three Dimensional Thin Domain

Published 19 Apr 2021 in math.AP | (2104.09077v1)

Abstract: In this article, we prove global existence of classical solutions to the incompressible isotropic Hookean elastodynamics in three-dimensional thin domain $\Omega_\delta=\mathbb{R}2\times [0,\delta]$ with periodic boundary condition.

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