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.
Arnold, Sur la g´ eom´ etrie diff´ erentielle des groupes de Lie de dimension infinie et ses applications ` a l’hydrodynamique des fluides parfaits,Ann
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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.