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We construct weak solutions to the 3D hypoviscous incompressibleelastodynamics with finite kinetic energy which was unknown in literatures. Ourresult holds for fractional hypoviscosity $(-\Delta)^\theta$, where$0\leq\theta<1$. The proof {consists of a convex integration scheme with newbuilding blocks of 2D intermittency and suitable temporal correctors, which aremotivated by} the inherent geometric structure of the viscoelastic equations.

Weak solutions of the three-dimensional hypoviscous elastodynamics with finite kinetic energy