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The study demonstrates uniqueness solvability in non-solenoidal flows under no-slip conditions, indicating vital relationships between vorticity and divergence.
In the paper we study 2D div-curl problem in exterior domain for the flow with given vorticity, divergency, boundary condition at infinity and no-slip condition on the solid surface. We will derive moment relations on vorticity and divergence for uniqueness solvability of the problem. Numerical results which confirm presented research are given.
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Aleksei Gorshkov (2025) studied this question.
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