Navier-stokes flow on riemannian manifolds

DOI10.1016/S0362-546X(96)00375-6zbMath0930.58015WikidataQ115339175 ScholiaQ115339175MaRDI QIDQ4374916

Takeyuki Nagasawa

Publication date: 9 February 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

weak solutionsNavier-Stokes equationvariational methodtime discretization

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (7)

Vorticity equation on surfaces with arbitrary topology embedded in three-dimensional Euclidean space ⋮ The formulation of the Navier-Stokes equations on Riemannian manifolds ⋮ Nash embedding, shape operator and Navier-Stokes equation on a Riemannian manifold ⋮ Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability ⋮ 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 ⋮ Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals

Cites Work

• Existence and asymptotic behavior of weak solutions to semilinear hyperbolic systems with damping terms
• \(\Gamma\)-convergence, minimizing movements and generalized mean curvature evolution
• Existence and asymptotic behavior of weak solutions to strongly damped semilinear hyperbolic systems
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
• On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
• THE NAVIER-STOKES AND EULER EQUATIONS ON TWO-DIMENSIONAL CLOSED MANIFOLDS
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