Wall conditions on a thin shell select the viscous operator: stress-free walls give the deformation Laplacian, vorticity-free walls the Hodge Laplacian, universally on any hypersurface, with a one-parameter family interpolating between them.
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2026 2representative citing papers
Kinematic selection from symmetric strain rate picks the deformation Laplacian for manifold Navier-Stokes, enabling global weak solutions with energy decay on 2D surfaces with Gaussian curvature bounded above by a negative constant.
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Boundary conditions select the viscous operator on Riemannian hypersurfaces: formal analysis and rigorous thin-shell limits
Wall conditions on a thin shell select the viscous operator: stress-free walls give the deformation Laplacian, vorticity-free walls the Hodge Laplacian, universally on any hypersurface, with a one-parameter family interpolating between them.
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Resolving the viscosity operator ambiguity on Riemannian manifolds via a kinematic selection principle
Kinematic selection from symmetric strain rate picks the deformation Laplacian for manifold Navier-Stokes, enabling global weak solutions with energy decay on 2D surfaces with Gaussian curvature bounded above by a negative constant.