Equivalence of two inverse boundary value problems for the Navier-Stokes equations
classification
🧮 math-ph
math.APmath.MP
keywords
boundarydatadirichletequationsinversenavier-stokespairproblems
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In this note, we prove that for the Navier-Stokes equations, a pair of Dirichlet and Neumann data and pressure uniquely correspond to a pair of Dirichlet data and surface stress on the boundary. Hence the two inverse boundary value problems in [2] and [3] are the same.
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