DOI: 10.1007/bf00284160. On the stability of viscous fluid motions

On the stability of viscous fluid motions

10.1007/bf00284160

Crossref journal-article

Springer Science and Business Media LLC

Archive for Rational Mechanics and Analysis (297)

Bibliography

Serrin, J. (1959). On the stability of viscous fluid motions. Archive for Rational Mechanics and Analysis, 3(1), 1â13.

Authors 1

James Serrin (first)

References 14 Referenced 306

Reynolds, O.: On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. Roy. Soc. London (A) 186, 123–164 (1895); Scientific Papers II, pp. 535–577. (10.1098/rsta.1895.0004) / Phil. Trans. Roy. Soc. London (A) by O. Reynolds (1895)
Orr, W. McF.: The stability or instability of the steady motions of a liquid. Part II: A viscous liquid. Proc. Roy. Irish Acad. (A) 27, 69–138 (1907). / Proc. Roy. Irish Acad. (A) by W. McF. Orr (1907)
Hamel, G.: Zum Turbulenzproblem. Nachr. Ges. Wiss. Göttingen. 1911, 261–270.
Lord Rayleigh: On the motion of a viscous fluid. Phil. Mag. (6) 26, 776–786 (1913); Papers VI, pp. 187–197. (10.1080/14786441308635022) / Phil. Mag. (6) by Lord Rayleigh (1913)
Kármán, Th. von: Über die Stabilität der Laminarströmung und die Theorie der Turbulenz. Proc. 1st. Int. Congress Appl. Mech. Delft, 1924, pp. 97–112.
Synge, J. L.: Hydrodynamical stability. Semi-centennial publications of the Amer. Math. Soc. 2, 227–269 (1938). Especially Part III. / Math. Soc. by J. L. Synge (1938)
Thomas, T. Y.: On the stability of viscous fluids. (1941). Univ. Calif. Publ. Math. New Series 2, 13–43 (1944). / Univ. Calif. Publ. Math. New Series by T. Y. Thomas (1944)
Thomas, T. Y.: On the uniform convergence of the solutions of the Navier-Stokes equations. Proc. Nat. Acad. Sci. U.S.A. 29, 243–246 (1943). (10.1073/pnas.29.8.243) / Proc. Nat. Acad. Sci. U.S.A. by T. Y. Thomas (1943)
Hopf, E.: On non-linear partial differential equations. Lecture series of the Symposium on partial differential equations. Univ. of Calif. 1955, PP. 7–11.
Leray, J.: Essai sur les mouvements plan d'un liquide visqueux que limitent des parois. J. Math. Pures. Appl. (9) 13, 331–418 (1934). / J. Math. Pures. Appl. (9) by J. Leray (1934)
Kampé de Fériet, J.: Sur la decroissance de l'énergie cinétique d'un fluide visqueux incompressible occupant un domaine borné ayant pour frontière des parois solides fixes. Ann. Soc. Sci. Bruxelles 63, 35–46 (1949). / Ann. Soc. Sci. Bruxelles by J. Kampé de Fériet (1949)
Berker, R.: Inégalité vérifiée par l'énergie cinétique d'un fluide visqueux incompressible occupant un domaine spatial borné. Bull. Tech. Univ. Istanbul 2, 41–50 (1949). / Bull. Tech. Univ. Istanbul by R. Berker (1949)
Synge, J. L.: On the stability of a viscous liquid between two rotating coaxial cylinders. Proc. Roy. Soc. London (A) 167, 250–256 (1938). (10.1098/rspa.1938.0130) / Proc. Roy. Soc. London (A) by J. L. Synge (1938)
Lin, C. C.: The theory of hydrodynamic stability. Cambridge 1955. Especially Chaps. 1, 2, 4.

Dates

Type	When
Created	20 years, 10 months ago (Oct. 4, 2004, 1:51 a.m.)
Deposited	6 years, 4 months ago (April 8, 2019, 5:04 p.m.)
Indexed	1 month ago (July 24, 2025, 7:52 a.m.)
Issued	66 years, 7 months ago (Jan. 1, 1959)
Published	66 years, 7 months ago (Jan. 1, 1959)
Published Print	66 years, 7 months ago (Jan. 1, 1959)

Funders 0

None

BibTeX

@article{Serrin_1959, title={On the stability of viscous fluid motions}, volume={3}, ISSN={1432-0673}, url={http://dx.doi.org/10.1007/bf00284160}, DOI={10.1007/bf00284160}, number={1}, journal={Archive for Rational Mechanics and Analysis}, publisher={Springer Science and Business Media LLC}, author={Serrin, James}, year={1959}, month=jan, pages={1–13} }

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