Weak solutions to 2D viscous resistive MHD are non-unique in L^2_t L^p(R^2) ∩ L^1_t W^{1,p}(R^2) for all 1 ≤ p < ∞, with byproducts for Navier-Stokes and large BMO^{-1} data.
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Sharp non-uniqueness of weak solutions to 2D magnetohydrodynamic equations
Weak solutions to 2D viscous resistive MHD are non-unique in L^2_t L^p(R^2) ∩ L^1_t W^{1,p}(R^2) for all 1 ≤ p < ∞, with byproducts for Navier-Stokes and large BMO^{-1} data.