Navier-Stokes Existence and Smoothness

GPTKB entity

Statements (52)
Predicate Object
gptkbp:instance_of gptkb:Mathematics
gptkbp:challenges gptkb:engineers
gptkb:Mathematician
gptkb:physicists
gptkbp:field fluid dynamics
gptkbp:has_been_studied_since gptkb:19th_century
gptkbp:has_implications_for airflow
ocean currents
weather prediction
https://www.w3.org/2000/01/rdf-schema#label Navier-Stokes Existence and Smoothness
gptkbp:is_a_fundamental_problem_in gptkb:Mathematics
physics
engineering
gptkbp:is_a_subject_of numerous research papers
numerous conferences
mathematical physicists
applied mathematicians
fluid dynamicists
gptkbp:is_associated_with chaotic behavior
mass conservation
energy dissipation
momentum transfer
gptkbp:is_cited_in gptkb:academic_research
gptkbp:is_essential_for aerodynamics
engineering applications
hydrodynamics
gptkbp:is_often_discussed_in gptkb:literature
mathematical literature
engineering literature
gptkbp:is_often_referenced_in gptkb:lectures
gptkb:textbooks
gptkbp:is_part_of gptkb:Millennium_Prize_Problems
gptkbp:is_related_to gptkb:wind
boundary conditions
compressible flow
viscosity
initial conditions
existence of solutions
incompressible flow
smoothness of solutions
gptkbp:is_studied_in gptkb:Physics
mathematical analysis
applied mathematics
gptkbp:is_unsolved as of 2023
gptkbp:issues gptkb:Navier-Stokes_equations
gptkbp:proposed_by gptkb:George_Gabriel_Stokes
Claude-Louis Navier
gptkbp:topics computational fluid dynamics
nonlinear partial differential equations
dynamical systems
gptkbp:bfsParent gptkb:Millennium_Prize_Problems
gptkbp:bfsLayer 6