Derivation of Some Results Connecting Fluid Dynamics and Complex Analysis

Sanjib Kumar Datta; Sudipta Kumar Pal; Satavisha Dey

doi:https://doi.org/10.14445/22315373/IJMTT-V55P572

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 8 | Year 2018 | Article Id. IJMTT-V55P572 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P572

Derivation of Some Results Connecting Fluid Dynamics and Complex Analysis

Sanjib Kumar Datta, Sudipta Kumar Pal, Satavisha Dey

Abstract

Some results focusing on the applications of the interrelationship between fluid dynamics and complex analysis have been derived in the paper.

Keywords

Potentialfluid flow,Ψ -order (Ψ-lowerorder), Ψ-hyper order (Ψ-hyper lower order), generalized Ψ-order (generalized Ψ-lower order), Ψ-order zero (Ψ-lower order zero),complex potential,composition,growth indicators.

References

[1] G. Birkhoff, Hydrodynamics, Princeton University Press, New Jersey (1953).
[2] G. K. Bactchelor : An introduction to fluid dynamics, Cambridge MathematicalLibrary (1967).
[3] A. S. B Holland : Introduction to the theory of entire functions, Academic Press, New York and London (1973).
[4] J. Rauch : Some fluid flows, Applied Complex Analysis (Ref. website : www.math.lsa.umich.edu).
[5] S. K. Datta and P. Sen : Some results connecting complex analysis and fluid dynamics, International Journal of Advanced Scientific and Technical Research, Issue 2 Vol. 6 (December 2012), pp. 380-391.
[6] G. Valiron : Lectures on the general theory of integral functions, Chelsea Publishing Company (1949).
[7] T. Yokoyama: Fluid Mechanics, Topology and Complex Analysis ( Ref.website :www.stst.phys.titech.ac.jp/[] yokoyama/note 4.pdf ).

Citation :

Sanjib Kumar Datta, Sudipta Kumar Pal, Satavisha Dey, "Derivation of Some Results Connecting Fluid Dynamics and Complex Analysis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 8, pp. 549-558, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P572