Sharp ill-posedness for the non-resistive MHD equations in Sobolev spaces

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Ill-posed problems for PDEs (35R25) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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