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A Navier–Stokes-Type Problem with High-Order Elliptic Operator and Applications

A Navier–Stokes-Type Problem with High-Order Elliptic Operator and Applications

The existence, uniqueness and uniformly Lp estimates for solutions of a high-order abstract Navier–Stokes problem on half space are derived. The equation involves an abstract operator in a Banach space E and small parameters. Since the Banach space E is arbitrary and A is a possible linear operator, by choosing …