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$H^2$-regularity for stationary and non-stationary Bingham problems with perfect slip boundary condition

$H^2$-regularity for stationary and non-stationary Bingham problems with perfect slip boundary condition

$H^2$-spatial regularity of stationary and non-stationary problems for Bingham fluids formulated with the pseudo-stress tensor is discussed. The problem is mathematically described by an elliptic or parabolic variational inequality of the second kind, to which weak solvability in the Sobolev space $H^1$ is well known. However, higher regularity up to …