Skip to main content
SpringerLink
Log in

Double field and cylindrical liquid flow

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. V. Valkovici, Liniile de curent si liniile de irej in miscarea pormanenta aurui fluid ideal, Bul. stiint Ac. R. P. R., Sec. mat. si fiz.,5, No.1, 147–154 (1953).

    Google Scholar 

  2. V. Valkovici, Suprafetcle Bernulli, Studii si cercetari mec. apl. Ac. R. P. R., II, No.6, 1507–1533 (1960).

    Google Scholar 

  3. P. Delens, Geometrie des congruences de courbes, Rend circ. matemat. Palermo, LVI, No.2, 289–326 (1932); No.3, 321–352 (1932).

    Google Scholar 

  4. O. V. Golubeva, Equations of Plane Motion of an Ideal, Incompressible Liquid Along Curvilinear Surfaces and Their Application in the Filtration Theory, Prikl. Matem i Mekh.,14, No.3, 287–295 (1950).

    Google Scholar 

  5. S. S. Byushgens, Geometry of the steady-state flow of an ideal incompressible liquid, Izv. Ak. Nauk SSSR, Mathem, Sect.,12, No. 5, 481–512 (1948).

    Google Scholar 

  6. N. I. Alekseev, Steady-state flow of an incompressible viscous liquid admitting of a family of orthogonal planes, Tr. Mosk. Aviats. Inst., No.61 5–19 (1956).

    Google Scholar 

  7. G. Gheorghiev, Observatia assupra geometrie affine differentiale a cimpurilor de vectori, Lucr. conf. de. geom. si top. Iasi, 127–136 (1959).

  8. V. V. Slukhaev, Certain problems in the equiaffine geometry of vector fields, Collection of papers on geometry, No. 5, Tr. Tomsk. Univ., 181 68–75 (1965).

    Google Scholar 

  9. V. V. Slukhaev, Affine-symmetric vector fields, Sib. Matem. Zh.,6, 4, 924–933 (1965).

    Google Scholar 

  10. J. Serrin, Mathematical Basis of Classical Liquid Mechanics [Russian translation], IL, Moscow (1963).

    Google Scholar 

  11. J. Favar, Course in Local Differential Geometry [Russian translation], IL, Moscow, (1960).

    Google Scholar 

  12. P. K. Rashevskii, Riemann Geometry and Tensor Analysis [in Russian], Izd. Nauka, Moscow (1964).

    Google Scholar 

  13. R. N. Shcherbakov, On a method of finding n-hedrals for subsets, Collection of papers on geometry, No. 3, Tr. Tomsk. Univ., 162, 5–11 (1963).

    Google Scholar 

  14. R. N. Shcherbakov, On the equiaffine geometry of nonholonomic sets, Collection of papers on geometry, No. 1, Trudy tomskogo Univ., 160, 82–89 (1962).

    Google Scholar 

  15. G. F. Laptev, Differential geometry of submerged sets, Trudy Mosk. Matem. Obshch., No. 2, 287–382 (1953).

    Google Scholar 

  16. N. I. Kovantsov, Theory of Complexes [in Russian], Kiev Univ., Kiev, (1963).

    Google Scholar 

  17. V. V. Vasenin, Existence of the solution of a system of external differential equations, Sib. Matem. Zh.5, No. 4, 774–778 (1964).

    Google Scholar 

  18. R. N. Shcherbakov, Course in Affine and Projective Differential Geometry [in Russian], Tomsk Univ., Tomsk (1960).

    Google Scholar 

  19. I. N. Kochina, On a class of vortex flows of ideal incompressible liquids, Prikl. Matem. i Mekh.,19, 6, 756–760 (1955).

    Google Scholar 

  20. S. S. Byushgens, Shift of the parallelism of vector fields, Vestnik MGU, Mathem. Sect., No. 2, 3–6 (1950).

    Google Scholar 

  21. S. P. Finikov, The method of external Cartan forms [in Russian], GITTL, Moscow-Leningrad (1948).

    Google Scholar 

Download references

Authors
  1. V. V. Slukhaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 5, pp. 1115–1129, September–October, 1966.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Slukhaev, V.V. Double field and cylindrical liquid flow. Sib Math J 7, 887–898 (1966). https://doi.org/10.1007/BF01044494

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01044494

Keywords

Search

Navigation