Under Navier slip or Hodge boundary conditions the viscous operator on thin shells around any smooth hypersurface reduces universally to the deformation Laplacian or Hodge Laplacian respectively.
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2026 2representative citing papers
A Lagrangian kinematic construction from inner-product changes of Lie-dragged vectors uniquely selects the deformation Laplacian for intrinsic fluid configuration spaces on Riemannian manifolds.
citing papers explorer
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Universal thin-shell limits for the viscous operator on Riemannian hypersurfaces
Under Navier slip or Hodge boundary conditions the viscous operator on thin shells around any smooth hypersurface reduces universally to the deformation Laplacian or Hodge Laplacian respectively.
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Resolving the viscosity operator ambiguity on Riemannian manifolds via a kinematic selection principle
A Lagrangian kinematic construction from inner-product changes of Lie-dragged vectors uniquely selects the deformation Laplacian for intrinsic fluid configuration spaces on Riemannian manifolds.