| Title:
|
Three-dimensional stream function in terms of quaternions (English) |
| Author:
|
v. Krzywoblocki, M. Z. |
| Author:
|
Roth, H. |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
8 |
| Issue:
|
2 |
| Year:
|
1963 |
| Pages:
|
129-149 |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Keyword:
|
fluid mechanics |
| MSC:
|
76.30 |
| idZBL:
|
Zbl 0152.44602 |
| idMR:
|
MR0155509 |
| DOI:
|
10.21136/AM.1963.102845 |
| . |
| Date available:
|
2008-05-20T17:21:10Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102845 |
| . |
| Reference:
|
[1] Birkhoff G., MacLane S.: A Survey of Modern Algebra.Revised Edition, Macmillan Company, N. Y., 1954. |
| Reference:
|
[2] Brand L.: Vector and Tensor Analysis.John Wiley & Sons, N. Y., 1957. MR 0021449 |
| Reference:
|
[3] Dickson L. E.: Modern Algebraic Theories.Benj. H. Sanborn & Co., 1926. |
| Reference:
|
[4] Eisenhart L. P.: An Introduction to Differential Geometry.Princeton University Press, 1947. Zbl 0033.01801, MR 0003048 |
| Reference:
|
[5] Forsythe A. R.: A Treatise on Differential Equations.Third Edition, Macmillan and Co., London, 1903. |
| Reference:
|
[6] Fueter R.: Die Functionentheorie der Differentialgleichungen $\Delta u=0$ und $\Delta \Delta u = 0$ mit vier reelen Variablen.Commentarii Mathematici Helvetici, Vol. 7, Fas. 4, pp. 307-330, 1934-35. MR 1509515, 10.1007/BF01292723 |
| Reference:
|
[7] Fueter R.: Die Singularitäten der eindeutigen regulären Functionen einer Quaternionen-variablen 1.Commentarii Mathematici Helvetici, Vol. 9, Fas. 4, pp. 320-334, 1936-37. MR 1509562, 10.1007/BF01258196 |
| Reference:
|
[8] Fueter R.: Integralsätze für reguläre Funktionen einer Quaternionen-Variablen.Commentarii Mathematici Helvetici, Vol. 10, Fas. 4, pp. 306-315, 1937-38. MR 1509583, 10.1007/BF01214299 |
| Reference:
|
[9] Fueter R.: Über die analytische Darstellung der regulären Funktionen einer Quaternionen-variablen.Commentarii Mathematici Helvetici, Vol. 8, Fas. 4, pp. 371 - 381, 1935 - 36. MR 1509533 |
| Reference:
|
[10] Knopp K.: Theory of Functions.Part I, Elements of the General Theory of Analytic Functions. Translated from the Fifth German Edition, Dover Publications, N. Y., 1945. MR 0012656 |
| Reference:
|
[11] Krzywoblocki v. M. Z.: On the Stream Functions in Nonsteady Three-Dimensional Flow.Journal of the Aeronautical Sciences, Readers' Forum, Vol. 25, No. 1, p. 67, Jan. 1958. |
| Reference:
|
[12] Lamb, Sir H.: Hydrodynamics.Sixth Edition, University Press, Cambridge 1932. |
| Reference:
|
[13] Milne-Thompson L. M.: Theoretical Hydrodynamics.Macmillan & Co., London 1938. |
| Reference:
|
[14] Misicu M.: Revolvarea Unor Probleme de Echilibru in Spatiu a Mediilor Continue.Part I, Procedee de Calcul cu Functii Cauternionice. Communicările Academiei R. P. R., Mecanică Aplicată, Tomul VI, pp. 72-81, Nov. 1956. |
| Reference:
|
[15] Misicu M.: Revolvarea Unor Probleme de Echilibru in Spatiu a Mediilor Continue.Part II, Reprezentarea Miscării Fluidelor Ideale Imcompressible. Ibid., pp. 82-87. |
| Reference:
|
[16] Reulos R.: Recherches Sur La Théorie des Corpuscules.Annales de L'Institut Fourier, L'Université de Grenoble, Tome V, 1953 et 1954. |
| Reference:
|
[17] Rose A.: On the use of a complex (Quaternion) velocity potential in three dimensions.Commentarii Mathematici Helvetici, Vol. 24, Fas. 2, pp. 135-148, 1950-51. Zbl 0038.05703, MR 0038182, 10.1007/BF02567029 |
| Reference:
|
[18] Skobelkin V. I.: Variational Principles in Hydrodynamics.Soviet Physics J. E. T. P., Vol. 4, No 1, pp. 68-72, Feb. 1957, Published by the American Institute of Physics Inc. MR 0121017 |
| Reference:
|
[19] Streeter V. L.: Fluid Dynamics.First Edition, McGraw-Hill, N. Y., 1948. Zbl 0038.37802, MR 0028137 |
| Reference:
|
[20] Struik D. J.: Lectures on Classical Differential Geometry.Addison-Wesley Publishing Co., Inc., Mass., 1957. MR 0036551 |
| . |
