Abstract
We construct weak solutions to the 3D hypoviscous incompressible elastodynamics with finite kinetic energy which was unknown in literatures. Our result holds for fractional hypoviscosity (−Δ)θ, where 0≤θ<1. The proof consists of a convex integration scheme with new building blocks of 2D intermittency and suitable temporal correctors, which are motivated by the inherent geometric structure of the viscoelastic equations.
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