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Local well-posedness and blow-up criteria of magneto-viscoelastic flows

Local well-posedness and blow-up criteria of magneto-viscoelastic flows

In this paper, we investigate a hydrodynamic system that models the dynamics of incompressible magneto-viscoelastic flows. First, we prove the local well-posedness of the initial boundary value problem in the periodic domain. Then we establish a blow-up criterion in terms of the temporal integral of the maximum norm of the …