Unique global mild solutions to 3D NS on H^3 with small L^3 data decay exponentially at rate μ times 26/9 due to curvature-induced spectral gap of the deformation Laplacian.
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A kinematic construction on Lorentzian manifolds selects the viscous stress to depend solely on shear and expansion by showing acceleration drops out under projection and vorticity cancels by symmetry.
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Global exponential stability for the three-dimensional Navier-Stokes equations on hyperbolic space
Unique global mild solutions to 3D NS on H^3 with small L^3 data decay exponentially at rate μ times 26/9 due to curvature-induced spectral gap of the deformation Laplacian.
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Kinematic selection of the viscous stress in relativistic dissipative hydrodynamics
A kinematic construction on Lorentzian manifolds selects the viscous stress to depend solely on shear and expansion by showing acceleration drops out under projection and vorticity cancels by symmetry.