Navier–Stokes equations (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Navier–Stokes equations" in English language version.

refsWebsite

Global rank English rank

10doi.org

2^nd place

8harvard.edu

18^th place

17^th place

7semanticscholar.org

11^th place

8^th place

6web.archive.org

1^st place

2claymath.org

8,402^nd place

8,241^st place

2nih.gov

4^th place

1books.google.com

3^rd place

1worldcat.org

5^th place

1researchgate.net

120^th place

125^th place

1arxiv.org

69^th place

59^th place

1cambridge.org

305^th place

264^th place

1webs.com

3,064^th place

2,458^th place

1jetp.ac.ru

low place

1phys.org

1,283^rd place

1,130^th place

1demichie.github.io

low place

1wolfram.com

513^th place

537^th place

1stanford.edu

179^th place

183^rd place

1ubc.ca

1,997^th place

1,295^th place

arxiv.org

Gorban, A.N.; Karlin, I. V. (2016), "Beyond Navier–Stokes equations: capillarity of ideal gas", Contemporary Physics (Review article), 58 (1): 70–90, arXiv:1702.00831, Bibcode:2017ConPh..58...70G, doi:10.1080/00107514.2016.1256123, S2CID 55317543

books.google.com

McLean, Doug (2012). "Continuum Fluid Mechanics and the Navier-Stokes Equations". Understanding Aerodynamics: Arguing from the Real Physics. John Wiley & Sons. pp. 13–78. ISBN 9781119967514. The main relationships comprising the NS equations are the basic conservation laws for mass, momentum, and energy. To have a complete equation set we also need an equation of state relating temperature, pressure, and density...

cambridge.org

Nie, X.B.; Chen, S.Y.; Robbins, M.O. (2004), "A continuum and molecular dynamics hybrid method for micro-and nano-fluid flow", Journal of Fluid Mechanics (Research article), 500: 55–64, Bibcode:2004JFM...500...55N, doi:10.1017/S0022112003007225, S2CID 122867563

claymath.org

"Millennium Prize Problems—Navier–Stokes Equation", claymath.org, Clay Mathematics Institute, March 27, 2017, archived from the original on 2015-12-22, retrieved 2017-04-02
Fefferman, Charles L. "Existence and smoothness of the Navier–Stokes equation" (PDF). claymath.org. Clay Mathematics Institute. Archived from the original (PDF) on 2015-04-15. Retrieved 2017-04-02.

demichie.github.io

de' Michieli Vitturi, Mattia, Navier–Stokes equations in cylindrical coordinates, retrieved 2016-12-26

doi.org

Abdulkadirov, Ruslan; Lyakhov, Pavel (2022-02-22). "Estimates of Mild Solutions of Navier–Stokes Equations in Weak Herz-Type Besov–Morrey Spaces". Mathematics. 10 (5): 680. doi:10.3390/math10050680. ISSN 2227-7390.
Holdeman, J. T. (2010), "A Hermite finite element method for incompressible fluid flow", Int. J. Numer. Methods Fluids, 64 (4): 376–408, Bibcode:2010IJNMF..64..376H, doi:10.1002/fld.2154, S2CID 119882803
Holdeman, J. T.; Kim, J. W. (2010), "Computation of incompressible thermal flows using Hermite finite elements", Comput. Meth. Appl. Mech. Eng., 199 (49–52): 3297–3304, Bibcode:2010CMAME.199.3297H, doi:10.1016/j.cma.2010.06.036
Gorban, A.N.; Karlin, I. V. (2016), "Beyond Navier–Stokes equations: capillarity of ideal gas", Contemporary Physics (Review article), 58 (1): 70–90, arXiv:1702.00831, Bibcode:2017ConPh..58...70G, doi:10.1080/00107514.2016.1256123, S2CID 55317543
Nie, X.B.; Chen, S.Y.; Robbins, M.O. (2004), "A continuum and molecular dynamics hybrid method for micro-and nano-fluid flow", Journal of Fluid Mechanics (Research article), 500: 55–64, Bibcode:2004JFM...500...55N, doi:10.1017/S0022112003007225, S2CID 122867563
Öttinger, H.C. (2012), Stochastic processes in polymeric fluids, Berlin, Heidelberg: Springer Science & Business Media, doi:10.1007/978-3-642-58290-5, ISBN 9783540583530
Wang, C. Y. (1991), "Exact solutions of the steady-state Navier–Stokes equations", Annual Review of Fluid Mechanics, 23: 159–177, Bibcode:1991AnRFM..23..159W, doi:10.1146/annurev.fl.23.010191.001111
Ethier, C. R.; Steinman, D. A. (1994), "Exact fully 3D Navier–Stokes solutions for benchmarking", International Journal for Numerical Methods in Fluids, 19 (5): 369–375, Bibcode:1994IJNMF..19..369E, doi:10.1002/fld.1650190502
Antuono, M. (2020), "Tri-periodic fully three-dimensional analytic solutions for the Navier–Stokes equations", Journal of Fluid Mechanics, 890, Bibcode:2020JFM...890A..23A, doi:10.1017/jfm.2020.126, S2CID 216463266
Georgia Institute of Technology (August 29, 2022). "Physicists uncover new dynamical framework for turbulence". Proceedings of the National Academy of Sciences of the United States of America. 119 (34). Phys.org: e2120665119. doi:10.1073/pnas.2120665119. PMC 9407532. PMID 35984901. S2CID 251693676.

harvard.edu

ui.adsabs.harvard.edu

Holdeman, J. T. (2010), "A Hermite finite element method for incompressible fluid flow", Int. J. Numer. Methods Fluids, 64 (4): 376–408, Bibcode:2010IJNMF..64..376H, doi:10.1002/fld.2154, S2CID 119882803
Holdeman, J. T.; Kim, J. W. (2010), "Computation of incompressible thermal flows using Hermite finite elements", Comput. Meth. Appl. Mech. Eng., 199 (49–52): 3297–3304, Bibcode:2010CMAME.199.3297H, doi:10.1016/j.cma.2010.06.036
Gorban, A.N.; Karlin, I. V. (2016), "Beyond Navier–Stokes equations: capillarity of ideal gas", Contemporary Physics (Review article), 58 (1): 70–90, arXiv:1702.00831, Bibcode:2017ConPh..58...70G, doi:10.1080/00107514.2016.1256123, S2CID 55317543
Nie, X.B.; Chen, S.Y.; Robbins, M.O. (2004), "A continuum and molecular dynamics hybrid method for micro-and nano-fluid flow", Journal of Fluid Mechanics (Research article), 500: 55–64, Bibcode:2004JFM...500...55N, doi:10.1017/S0022112003007225, S2CID 122867563
Shah, Tasneem Mohammad (1972). "Analysis of the multigrid method". NASA Sti/Recon Technical Report N. 91: 23418. Bibcode:1989STIN...9123418S.
Wang, C. Y. (1991), "Exact solutions of the steady-state Navier–Stokes equations", Annual Review of Fluid Mechanics, 23: 159–177, Bibcode:1991AnRFM..23..159W, doi:10.1146/annurev.fl.23.010191.001111
Ethier, C. R.; Steinman, D. A. (1994), "Exact fully 3D Navier–Stokes solutions for benchmarking", International Journal for Numerical Methods in Fluids, 19 (5): 369–375, Bibcode:1994IJNMF..19..369E, doi:10.1002/fld.1650190502
Antuono, M. (2020), "Tri-periodic fully three-dimensional analytic solutions for the Navier–Stokes equations", Journal of Fluid Mechanics, 890, Bibcode:2020JFM...890A..23A, doi:10.1017/jfm.2020.126, S2CID 216463266

jetp.ac.ru

Kamchatno, A. M. (1982), Topological solitons in magnetohydrodynamics (PDF), archived (PDF) from the original on 2016-01-28

nih.gov

ncbi.nlm.nih.gov

Georgia Institute of Technology (August 29, 2022). "Physicists uncover new dynamical framework for turbulence". Proceedings of the National Academy of Sciences of the United States of America. 119 (34). Phys.org: e2120665119. doi:10.1073/pnas.2120665119. PMC 9407532. PMID 35984901. S2CID 251693676.

pubmed.ncbi.nlm.nih.gov

Georgia Institute of Technology (August 29, 2022). "Physicists uncover new dynamical framework for turbulence". Proceedings of the National Academy of Sciences of the United States of America. 119 (34). Phys.org: e2120665119. doi:10.1073/pnas.2120665119. PMC 9407532. PMID 35984901. S2CID 251693676.

phys.org

Georgia Institute of Technology (August 29, 2022). "Physicists uncover new dynamical framework for turbulence". Proceedings of the National Academy of Sciences of the United States of America. 119 (34). Phys.org: e2120665119. doi:10.1073/pnas.2120665119. PMC 9407532. PMID 35984901. S2CID 251693676.

researchgate.net

Gorban, A.N.; Karlin, I. V. (2016), "Beyond Navier–Stokes equations: capillarity of ideal gas", Contemporary Physics (Review article), 58 (1): 70–90, arXiv:1702.00831, Bibcode:2017ConPh..58...70G, doi:10.1080/00107514.2016.1256123, S2CID 55317543

semanticscholar.org

api.semanticscholar.org

Holdeman, J. T. (2010), "A Hermite finite element method for incompressible fluid flow", Int. J. Numer. Methods Fluids, 64 (4): 376–408, Bibcode:2010IJNMF..64..376H, doi:10.1002/fld.2154, S2CID 119882803
Gorban, A.N.; Karlin, I. V. (2016), "Beyond Navier–Stokes equations: capillarity of ideal gas", Contemporary Physics (Review article), 58 (1): 70–90, arXiv:1702.00831, Bibcode:2017ConPh..58...70G, doi:10.1080/00107514.2016.1256123, S2CID 55317543
Nie, X.B.; Chen, S.Y.; Robbins, M.O. (2004), "A continuum and molecular dynamics hybrid method for micro-and nano-fluid flow", Journal of Fluid Mechanics (Research article), 500: 55–64, Bibcode:2004JFM...500...55N, doi:10.1017/S0022112003007225, S2CID 122867563
Antuono, M. (2020), "Tri-periodic fully three-dimensional analytic solutions for the Navier–Stokes equations", Journal of Fluid Mechanics, 890, Bibcode:2020JFM...890A..23A, doi:10.1017/jfm.2020.126, S2CID 216463266
Georgia Institute of Technology (August 29, 2022). "Physicists uncover new dynamical framework for turbulence". Proceedings of the National Academy of Sciences of the United States of America. 119 (34). Phys.org: e2120665119. doi:10.1073/pnas.2120665119. PMC 9407532. PMID 35984901. S2CID 251693676.
Stam, Jos (2003), Real-Time Fluid Dynamics for Games (PDF), S2CID 9353969, archived from the original (PDF) on 2020-08-05

pdfs.semanticscholar.org

Stam, Jos (2003), Real-Time Fluid Dynamics for Games (PDF), S2CID 9353969, archived from the original (PDF) on 2020-08-05

stanford.edu

movement.stanford.edu

Stam, Jos (1999), Stable Fluids (PDF), archived (PDF) from the original on 2019-07-15

ubc.ca

cs.ubc.ca

Robert Bridson; Matthias Müller-Fischer. "Fluid Simulation for Computer Animation". www.cs.ubc.ca.

web.archive.org

"Millennium Prize Problems—Navier–Stokes Equation", claymath.org, Clay Mathematics Institute, March 27, 2017, archived from the original on 2015-12-22, retrieved 2017-04-02
Fefferman, Charles L. "Existence and smoothness of the Navier–Stokes equation" (PDF). claymath.org. Clay Mathematics Institute. Archived from the original (PDF) on 2015-04-15. Retrieved 2017-04-02.
"Navier Stokes Equations". www.claudino.webs.com. Archived from the original on 2015-06-19. Retrieved 2023-03-11.
Kamchatno, A. M. (1982), Topological solitons in magnetohydrodynamics (PDF), archived (PDF) from the original on 2016-01-28
Stam, Jos (2003), Real-Time Fluid Dynamics for Games (PDF), S2CID 9353969, archived from the original (PDF) on 2020-08-05
Stam, Jos (1999), Stable Fluids (PDF), archived (PDF) from the original on 2019-07-15

webs.com

claudino.webs.com

"Navier Stokes Equations". www.claudino.webs.com. Archived from the original on 2015-06-19. Retrieved 2023-03-11.

wolfram.com

mathworld.wolfram.com

Eric W. Weisstein (2005-10-26), Spherical Coordinates, MathWorld, retrieved 2008-01-22

worldcat.org

Abdulkadirov, Ruslan; Lyakhov, Pavel (2022-02-22). "Estimates of Mild Solutions of Navier–Stokes Equations in Weak Herz-Type Besov–Morrey Spaces". Mathematics. 10 (5): 680. doi:10.3390/math10050680. ISSN 2227-7390.