Navier–Stokes existence and smoothness

GPTKB entity

Predicate	Object
gptkbp:instanceOf	Hilbert problem
gptkbp:announced	2000
gptkbp:appliesTo	gptkb:incompressible_Navier–Stokes_equations_in_3D viscous fluids initial value problem
gptkbp:award	1 million US dollars
gptkbp:criteria	uniqueness of solutions global existence of smooth solutions for all time smoothness of solutions
gptkbp:describes	concerns the existence and smoothness of solutions to the Navier–Stokes equations in three dimensions
gptkbp:field	gptkb:mathematics fluid dynamics partial differential equations
https://www.w3.org/2000/01/rdf-schema#label	Navier–Stokes existence and smoothness
gptkbp:offeredBy	gptkb:Clay_Mathematics_Institute
gptkbp:relatedTo	gptkb:Navier–Stokes_equations gptkb:Millennium_Prize_Problems
gptkbp:seeAlso	gptkb:Navier–Stokes_equations gptkb:Millennium_Prize_Problems
gptkbp:status	unsolved
gptkbp:type	gptkb:mathematical_concept
gptkbp:bfsParent	gptkb:Mathematical_problems_for_the_next_century gptkb:Yang–Mills_Existence_and_Mass_Gap gptkb:Millennium_Prize_Problems
gptkbp:bfsLayer	6