Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Navier–Stokes_existence_and_smoothness> ?p ?o }
Showing triples 1 to 86 of
86
with 100 triples per page.
- Navier–Stokes_existence_and_smoothness abstract "The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, one of the pillars of fluid mechanics (such as with turbulence). These equations describe the motion of a fluid (that is, a liquid or a gas) in space. Solutions to the Navier–Stokes equations are used in many practical applications. However, theoretical understanding of the solutions to these equations is incomplete. In particular, solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering.Even much more basic properties of the solutions to Navier–Stokes have never been proven. For the three-dimensional system of equations, and given some initial conditions, mathematicians have not yet proved that smooth solutions always exist, or that if they do exist, they have bounded energy per unit mass. This is called the Navier–Stokes existence and smoothness problem.Since understanding the Navier–Stokes equations is considered to be the first step to understanding the elusive phenomenon of turbulence, the Clay Mathematics Institute in May 2000 made this problem one of its seven Millennium Prize problems in mathematics. It offered a US$1,000,000 prize to the first person providing a solution for a specific statement of the problem:".
- Navier–Stokes_existence_and_smoothness wikiPageExternalLink why-global-regularity-for-navier-stokes-is-hard.
- Navier–Stokes_existence_and_smoothness wikiPageExternalLink 18185364.
- Navier–Stokes_existence_and_smoothness wikiPageExternalLink navier%E2%80%93stokes-equation.
- Navier–Stokes_existence_and_smoothness wikiPageID "6013654".
- Navier–Stokes_existence_and_smoothness wikiPageLength "15166".
- Navier–Stokes_existence_and_smoothness wikiPageOutDegree "49".
- Navier–Stokes_existence_and_smoothness wikiPageRevisionID "683037254".
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Astana.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Category:Fluid_dynamics.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Category:Millennium_Prize_Problems.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Category:Partial_differential_equations.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Category:Unsolved_problems_in_mathematics.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Clay_Mathematics_Institute.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Compressibility.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Conservation_of_mass.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Continuity_equation.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Continuum_mechanics.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Divergence.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Energy.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Fluid_mechanics.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Fractional_part.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Gradient.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Incompressible.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Incompressible_flow.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Jean_Leray.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Kazakhstan.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Kinetic_energy.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink L.N.Gumilyov_Eurasian_National_University.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Laplace_operator.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Laplacian.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink List_of_unsolved_problems_in_physics.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Luis_Caffarelli.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Mathematical.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Mathematics.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Mean_free_path.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Millennium_Prize_Problems.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Millennium_Prize_problems.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Mukhtarbay_Otelbaev.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Multi-index_notation.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Navier–Stokes_equations.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Newtonian_fluid.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Newtons_laws_of_motion.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Newtons_second_law.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Nonlinear_system.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Partial_differential_equation.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Quotient_space_(topology).
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Rarefaction.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Rarefied.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Smooth_function.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Smoothness.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Solenoidal_vector_field.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Terence_Tao.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Turbulence.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink United_States_dollar.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Unsolved_problems_in_physics.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Vector_field.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Vector_fields.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Viscosity.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Vorticity_equation.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLink Weak_solution.
- Navier–Stokes_existence_and_smoothness wikiPageWikiLinkText "Navier–Stokes equations".
- Navier–Stokes_existence_and_smoothness wikiPageWikiLinkText "Navier–Stokes existence and smoothness".
- Navier–Stokes_existence_and_smoothness wikiPageWikiLinkText "Navier–Stokes problem".
- Navier–Stokes_existence_and_smoothness wikiPageWikiLinkText "smooth solutions to the Navier–Stokes equations".
- Navier–Stokes_existence_and_smoothness hasPhotoCollection Navier–Stokes_existence_and_smoothness.
- Navier–Stokes_existence_and_smoothness wikiPageUsesTemplate Template:Citation_needed.
- Navier–Stokes_existence_and_smoothness wikiPageUsesTemplate Template:Main.
- Navier–Stokes_existence_and_smoothness wikiPageUsesTemplate Template:Millennium_Problems.
- Navier–Stokes_existence_and_smoothness wikiPageUsesTemplate Template:Quotation.
- Navier–Stokes_existence_and_smoothness wikiPageUsesTemplate Template:Reflist.
- Navier–Stokes_existence_and_smoothness subject Category:Fluid_dynamics.
- Navier–Stokes_existence_and_smoothness subject Category:Millennium_Prize_Problems.
- Navier–Stokes_existence_and_smoothness subject Category:Partial_differential_equations.
- Navier–Stokes_existence_and_smoothness subject Category:Unsolved_problems_in_mathematics.
- Navier–Stokes_existence_and_smoothness comment "The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, one of the pillars of fluid mechanics (such as with turbulence). These equations describe the motion of a fluid (that is, a liquid or a gas) in space. Solutions to the Navier–Stokes equations are used in many practical applications. However, theoretical understanding of the solutions to these equations is incomplete.".
- Navier–Stokes_existence_and_smoothness label "Navier–Stokes existence and smoothness".
- Navier–Stokes_existence_and_smoothness sameAs ナビエ-ストークス方程式の解の存在と滑らかさ.
- Navier–Stokes_existence_and_smoothness sameAs Existência_e_suavidade_de_Navier-Stokes.
- Navier–Stokes_existence_and_smoothness sameAs m.0fkm5k.
- Navier–Stokes_existence_and_smoothness sameAs Существование_и_гладкость_решений_уравнений_Навье_—_Стокса.
- Navier–Stokes_existence_and_smoothness sameAs Q1098081.
- Navier–Stokes_existence_and_smoothness sameAs Q1098081.
- Navier–Stokes_existence_and_smoothness sameAs 納維-斯托克斯存在性與光滑性.
- Navier–Stokes_existence_and_smoothness wasDerivedFrom Navier–Stokes_existence_and_smoothness?oldid=683037254.
- Navier–Stokes_existence_and_smoothness isPrimaryTopicOf Navier–Stokes_existence_and_smoothness.