Global solutions of the Navier-Stokes equation with strong viscosity

DOI10.1007/BF00136868zbMath0766.58011OpenAlexW2015481534MaRDI QIDQ1202529

Franz J. Pedit, Andrew P. Carverhill

Publication date: 25 February 1993

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00136868

zbMATH Keywords

Navier-Stokes equationgeodesic flowdiffeomorphism groupsstrong viscosity

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Applications of manifolds of mappings to the sciences (58D30) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

The formulation of the Navier-Stokes equations on Riemannian manifolds ⋮ The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains ⋮ Stationary Navier–Stokes Equation on Lipschitz Domains in Riemannian Manifolds with Nonvanishing Boundary Conditions ⋮ Boundary value problems for the Brinkman system with \(L^\infty\) coefficients in Lipschitz domains on compact Riemannian manifolds. A variational approach ⋮ Variational formulation of compressible hydrodynamics in curved spacetime and symmetry of stress tensor

Cites Work

• Groups of diffeomorphisms and the motion of an incompressible fluid
• On the space of Riemannian metrics
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