On the number of singular points of weak solutions to the Navier‐Stokes equations
Copyright policy )On the number of singular points of weak solutions to the Navier‐Stokes equations
AbstractWe consider a suitable weak solution to the three‐dimensional Navier‐Stokes equations in the space‐time cylinder Ω × ]0, T[. Let Σ be the set of singular points for this solution and Σ (t) ≡ {(x, t) ∈ Σ}. For a given open subset ω ⊆ Ω and for a given moment of time t ∈]0, T[, we obtain an upper bound for the number of points of the set Σ(t) ⋒ ω. © 2001 John Wiley & Sons, Inc.
- Steklov Mathematical Institute Russian Federation
- University of Oxford United Kingdom
- Department of Mathematical Sciences Russian Federation
suitable weak solutions, partial regularity of weak solutions, Navier-Stokes equations for incompressible viscous fluids, Generalized solutions to partial differential equations, singular points of suitable weak solutions, Analyticity in context of PDEs, weak solutions of Navier-Stokes equations, Morrey's space, Navier-Stokes equations, Hopf's weak solution, Existence, uniqueness, and regularity theory for incompressible viscous fluids
suitable weak solutions, partial regularity of weak solutions, Navier-Stokes equations for incompressible viscous fluids, Generalized solutions to partial differential equations, singular points of suitable weak solutions, Analyticity in context of PDEs, weak solutions of Navier-Stokes equations, Morrey's space, Navier-Stokes equations, Hopf's weak solution, Existence, uniqueness, and regularity theory for incompressible viscous fluids
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