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Onsager's Conjecture for Ideal Magnetohydrodynamics
For any $0\leγ<1/3$ we construct weak solutions $(v,B,p)$ of the ideal MHD equations with $v,B\in C^γ(\mathbb T^3\times\mathbb R)$, which conserve neither the total energy nor the cross-helicity and have nontrivial magnetic helicity. We also establish anisotropic Hölder bounds with distinct velocity
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