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1

E, Jorgenson Philip C., and United States. National Aeronautics and Space Administration., eds. A mixed volume grid approach for the Euler and Navier-Stokes equations. National Aeronautics and Space Administration, 1996.

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2

E, Jorgenson Philip C., and United States. National Aeronautics and Space Administration., eds. A mixed volume grid approach for the Euler and Navier-Stokes equations. National Aeronautics and Space Administration, 1996.

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3

Łukaszewicz, Grzegorz, and Piotr Kalita. Navier–Stokes Equations. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27760-8.

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4

Kollmann, Wolfgang. Navier-Stokes Turbulence. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31869-7.

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5

Constantin, P. Navier-Stokes equations. University of Chicago Press, 1988.

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6

Kollmann, Wolfgang. Navier-Stokes Turbulence. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-59578-3.

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7

Ramm, Alexander G. The Navier-Stokes Problem. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-031-02431-3.

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8

Plotnikov, Pavel, and Jan Sokołowski. Compressible Navier-Stokes Equations. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0367-0.

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9

Sohr, Hermann. The Navier-Stokes Equations. Springer Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-0551-3.

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10

Sohr, Hermann. The Navier-Stokes Equations. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8255-2.

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11

Zeytounian, Radyadour Kh. Navier-Stokes-Fourier Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-20746-4.

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12

Barbu, Viorel. Stabilization of Navier–Stokes Flows. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-043-4.

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13

Hărăguș, D. Equations du type Navier-Stokes. Tipografia Universitătii din Timișoara, 1994.

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14

Barbu, Viorel. Stabilization of Navier-Stokes flows. Springer, 2011.

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15

Jacobs, P. A. Single-block Navier-Stokes integrator. Institute for Computer Applications in Science and Engineering, 1991.

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16

Jacobs, Peter A. Single-block Navier-Stokes integrator. National Aeronautics and Space Administration, Langley Research Center, 1991.

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17

Joanna, Rencławowicz, Zajączkowski Wojciech M, and Instytut Matematyczny (Polska Akademia Nauk), eds. Parabolic and Navier-Stokes equations. Institute of Mathematics, Polish Academy of Sciences, 2008.

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18

Joanna, Rencławowicz, Zajączkowski Wojciech M, and Instytut Matematyczny (Polska Akademia Nauk), eds. Parabolic and Navier-Stokes equations. Institute of Mathematics, Polish Academy of Sciences, 2008.

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19

Cannone, Marco. Ondelettes, paraproduits et Navier-Stokes. Diderot Editeur, 1995.

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20

Jacobs, Peter A. Single-block Navier-Stokes integrator. National Aeronautics and Space Administration, Langley Research Center, 1991.

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21

Korobkov, Mikhail, Konstantin Pileckas, and Remigio Russo. The Steady Navier-Stokes System. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-50898-1.

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22

Ciprian, Foiaş, ed. Navier-Stokes equations and turbulence. Cambridge University Press, 2001.

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23

M, Zajączkowski Wojciech, and Instytut Matematyczny (Polska Akademia Nauk), eds. Parabolic and Navier-Stokes equations. Institute of Mathematics, Polish Academy of Sciences, 2008.

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24

Stupelis, L. Navier-Stokes equations in irregular domains. Kluwer Academic Publishers, 1995.

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25

Younsi, R. Navier-Stokes equations: Properties, description, and applications. Nova Science Publishers, 2011.

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26

1940-, Heywood J. G., ed. Theory of the Navier-Stokes equations. World Scientific, 1998.

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27

Deissler, Robert G. On the nature of Navier-Stokes turbulence. Lewis Research Center, 1989.

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28

Deissler, Robert G. On the nature of Navier-Stokes turbulence. National Aeronautics and Space Administration, 1989.

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29

Deissler, Robert G. On the nature of Navier-Stokes turbulence. National Aeronautics and Space Administration, 1989.

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30

Deissler, Robert G. On the nature of Navier-Stokes turbulence. National Aeronautics and Space Administration, 1989.

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31

Ramm, Alexander G. Symmetry Problems. The Navier-Stokes Problem. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-031-02415-3.

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32

Stupelis, Liudas. Navier—Stokes Equations in Irregular Domains. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8525-5.

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33

United States. National Aeronautics and Space Administration., ed. Development of advanced Navier-Stokes solver. MCAT Institute, 1994.

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34

United States. National Aeronautics and Space Administration., ed. Development of advanced Navier-Stokes solver. MCAT Institute, 1994.

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35

1954-, Sritharan S. S., and Langley Research Center, eds. Analysis of regularized Navier-Stokes equations. National Aeronautics and Space Administration, Langley Research Center, 1989.

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36

Barth, Timothy J. Navier-Stokes computations for exotic airfoils. AIAA, 1985.

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37

Stupelis, Liudas. Navier-Stokes Equations in Irregular Domains. Springer Netherlands, 1995.

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38

Ramm, Alexander G. Analysis of the Navier-Stokes Problem. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-30723-2.

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39

Ou, Yuh-Roung. Analysis of regularized Navier-Stokes equations - II. ICASE, 1989.

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40

Ramm, Alexander G. Navier-Stokes Problem. Springer International Publishing AG, 2021.

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41

Ramm, Alexander G. Navier-Stokes Problem. Morgan & Claypool Publishers, 2021.

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42

Ramm, Alexander G. Navier-Stokes Problem. Morgan & Claypool Publishers, 2021.

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43

Ramm, Alexander G. Navier-Stokes Problem. Morgan & Claypool Publishers, 2021.

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44

Salvi, Rodolfo. Navier-Stokes Equations. Taylor & Francis Group, 2018.

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45

Navier-Stokes Equations. Birkhäuser Boston, 2014.

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46

Foiaş, Ciprian. Navier-Stokes Equations. 1988.

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47

Rajeev, S. G. The Navier–Stokes Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0003.

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Abstract:
When different layers of a fluid move at different velocities, there is some friction which results in loss of energy and momentum to molecular degrees of freedom. This dissipation is measured by a property of the fluid called viscosity. The Navier–Stokes (NS) equations are the modification of Euler’s equations that include this effect. In the incompressible limit, the NS equations have a residual scale invariance. The flow depends only on a dimensionless ratio (the Reynolds number). In the limit of small Reynolds number, the NS equations become linear, equivalent to the diffusion equation. Id
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48

Fujita, Hiroyuki. The Navier-Stokes Equations. CRC Press, 2001. http://dx.doi.org/10.1201/9780203908501.

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49

Sohr, Hermann. The Navier-Stokes Equations. Birkhäuser Basel, 2001.

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50

Plotnikov, Pavel. Compressible Navier-Stokes Equations. Springer, 2012.

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