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Books on the topic 'PDEs in fluid mechanics'

Author: Grafiati

Published: 1 March 2025

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1

Layton, Anita T., and Sarah D. Olson. Biological fluid dynamics: Modeling, computations, and applications : AMS Special Session, Biological Fluid Dynamics : Modeling, Computations, and Applications : October 13, 2012, Tulane University, New Orleans, Louisiana. Providence, Rhode Island: American Mathematical Society, 2014.

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2

Spurk, Joseph H. Fluid mechanics. 2nd ed. Berlin: Springer, 2008.

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3

Durst, Franz. Fluid Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-71343-2.

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4

Spurk, Joseph H. Fluid Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-58277-6.

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5

Boxer, G. Fluid Mechanics. London: Macmillan Education UK, 1988. http://dx.doi.org/10.1007/978-1-349-09805-7.

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6

Spurk, Joseph H., and Nuri Aksel. Fluid Mechanics. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-30259-7.

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7

Widden, Martin. Fluid Mechanics. London: Macmillan Education UK, 1996. http://dx.doi.org/10.1007/978-1-349-11334-7.

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8

Douglas, J. F. Fluid mechanics. 3rd ed. Harlow: Longman Scientific & Technical, 1995.

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9

Brewster, Hilary D. Fluid mechanics. Jaipur, India: Oxford Book Co., 2009.

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10

White, Frank M. Fluid mechanics. 7th ed. New York, N.Y: McGraw Hill, 2011.

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11

White, Frank M. Fluid mechanics. 6th ed. New York, NY: McGraw-Hill, 2009.

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12

Kundu, Pijush K. Fluid mechanics. 4th ed. Amsterdam: Academic Press, 2008.

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13

M, Lifshits E., ed. Fluid mechanics. 2nd ed. Oxford: Butterworth-Heinemann, 1995.

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14

1927-, Gasiorek J. M., and Swaffield J. A. 1943-, eds. Fluid mechanics. 2nd ed. London: Pitman Pub., 1985.

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15

Irving, Granet, ed. Fluid mechanics. 4th ed. Englewood Cliffs, N.J: Prentice Hall, 1996.

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16

M, Cohen Ira, and Dowling David R, eds. Fluid mechanics. 5th ed. Waltham, MA: Academic Press, 2012.

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17

A, Li͡u︡bimov G., Sedov L. I. 1907-, Chernyĭ G. G, and Vsesoi͡u︡znyĭ sʺezd po teoreticheskoĭ i prikladnoĭ mekhanike (6th : 1986 : Tashkent, Uzbek S.S.R.), eds. Fluid mechanics. New York: Hemisphere Pub. Corp., 1991.

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18

F, Douglas John, ed. Fluid mechanics. 5th ed. Harlow, England: Pearson/Prentice Hall, 2006.

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19

Douglas, J. F. Fluid mechanics. 2nd ed. London: Pitman, 1985.

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20

Douglas, J. F. Fluid mechanics. 2nd ed. London: ELBS, 1993.

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21

Douglas, J. F. Fluid mechanics. 2nd ed. Harlow: Longman, 1985.

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22

Ahmed, Nazeer. Fluid mechanics. San Jose, Calif: Engineering Press, 1987.

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23

Douglas, J. F. Fluid mechanics. 3rd ed. Harlow: Longman, 1995.

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24

Douglas, J. F. Fluid mechanics. Harlow: Longman, 1985.

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25

Douglas, J. F. Fluid mechanics. Harlow: Longman, 1990.

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26

Kundu, Pijush K. Fluid mechanics. 2nd ed. San Diego, Calif: Academic, 2001.

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27

Granger, Robert A. Fluid mechanics. London: Holt-Saunders, 1985.

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28

White, Frank M. Fluid mechanics. 3rd ed. New York: McGraw-Hill, 1994.

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29

Douglas, John F. Fluid mechanics. 2nd ed. Burnt Mill, Harlow, Essex, England: Longman Scientific & Technical, 1986.

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30

White, Frank M. Fluid mechanics. 6th ed. New York, NY: McGraw-Hill, 2009.

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31

Rajeev, S. G. Fluid Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.001.0001.

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Abstract:

Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator is studied using an example by Trefethen et al. The integrable models (KdV, Hasimoto’s vortex soliton) and their hamiltonian formalism are studied. Delving into deeper mathematics, geodesics on Lie groups are studied: first using the Lie algebra and then using Milnor’s approach to the curvature of the Lie group. Arnold’s deep idea that Euler’s equations are the geodesic equations on the diffeomorphism group is then explained and its curvature calculated. The next three chapters are an introduction to numerical methods: spectral methods based on Chebychev functions for ODEs, their application by Orszag to solve the Orr–Sommerfeld equation, finite difference methods for elementary PDEs, the Magnus formula and its application to geometric integrators for ODEs. Two appendices give an introduction to dynamical systems: Arnold’s cat map, homoclinic points, Smale’s horse shoe, Hausdorff dimension of the invariant set, Aref ’s example of chaotic advection. The last appendix introduces renormalization: Ising model on a Cayley tree and Feigenbaum’s theory of period doubling.

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32

Diaz, J. I., S. Shmarev, and S. N. Antontsev. Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Birkhauser Verlag, 2012.

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33

Energy Methods for Free Boundary Problems: Applications to Nonlinear Pdes and Fluid Mechanics (Progress in Nonlinear Differential Equations and Their Applications). Birkhauser, 2001.

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34

Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics (Progress in Nonlinear Differential Equations and Their Applications). Birkhäuser Boston, 2001.

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35

Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations: An Introduction. American Mathematical Society, 2022.

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36

Vicol, Vlad, and Jacob Bedrossian. Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations: An Introduction. American Mathematical Society, 2022.

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37

Randomly Forced Nonlinear Pdes and Statistical Hydrodynamics in 2 Space Dimensions (Zurich Lectures in Advanced Mathematics) (Zurich Lectures in Advanced Mathematics). European Mathematical Society, 2006.

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38

Prástaro, Agostino. Geometry of PDEs and Mechanics. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/2986.

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39

Geometry of PDEs and Mechanics. World Scientific Publishing Co Pte Ltd, 1996.

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40

Geometry of Pdes and Mechanics. World Scientific Publishing Co Pte Ltd, 1996.

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41

Geometry of PDEs and mechanics. Singapore: World Scientific, 1996.

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42

Kundu, Pijush K., Ira M. Cohen, and David R. Dowling. Fluid Mechanics. Elsevier Science & Technology Books, 2011.

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43

Falkovich, Gregory. Fluid Mechanics. Cambridge University Press, 2018.

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44

Gutfinger, Chaim, and David Pnueli. Fluid Mechanics. Cambridge University Press, 2012.

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45

Brewster, Hilary D. Fluid Mechanics. Oxford Book Company, 2009.

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46

Hibbeler, Russell C. Fluid Mechanics. Pearson Education, Limited, 2014.

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47

Cengel, Yunus A., and John M. Cimbala. Fluid Mechanics. McGraw-Hill Science/Engineering/Math, 2004.

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48

Puebe, Jean-Laurent. Fluid Mechanics. Wiley & Sons, Incorporated, John, 2013.

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49

Fluid Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-73537-3.

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50

Fluid Mechanics. Elsevier, 2002. http://dx.doi.org/10.1016/c2009-0-20716-1.

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