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The Lagrange multiplier and the stationary Stokes equations

Published 23 Mar 2017 in math.AP | (1703.08216v1)

Abstract: We briefly discuss the notion of the Lagrange multiplier for a linear constraint in the Hilbert space setting, and we prove that the pressure $p$ appearing in the stationary Stokes equations is the Lagrange multiplier of the constraint $\mathrm{div}\, u =0$.

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