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Clebsch Transformation in Finding first Integral of Euler's Equation for General Fluid Flow:Sir Asutosh Mookerjee's Contribution


Affiliations
1 Department of Mathematics, Gokhale Memorial Girls College, Kolkata-700020, India
2 Department of Mathematics, Jadavpur University, Kolkata-700032, India
     

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It was a hallmark of Sir Asutosh that he used very simple mathematics for solving quite complex problems. In this paper,the first integral of Euler's equation of motion in hydrodynamics has been obtained by using Clebsch's transformation. This method was given by Sir Asutosh Mookerjee.

Keywords

Clebsch Transformation, Euler’s Equation of Motion, First Integral.
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  • Clebsch Transformation in Finding first Integral of Euler's Equation for General Fluid Flow:Sir Asutosh Mookerjee's Contribution

Abstract Views: 418  |  PDF Views: 3

Authors

Purabi Mukherji
Department of Mathematics, Gokhale Memorial Girls College, Kolkata-700020, India
Sudeshna Banerjea
Department of Mathematics, Jadavpur University, Kolkata-700032, India

Abstract


It was a hallmark of Sir Asutosh that he used very simple mathematics for solving quite complex problems. In this paper,the first integral of Euler's equation of motion in hydrodynamics has been obtained by using Clebsch's transformation. This method was given by Sir Asutosh Mookerjee.

Keywords


Clebsch Transformation, Euler’s Equation of Motion, First Integral.



DOI: https://doi.org/10.24906/isc%2F2014%2Fv28%2Fi4%2F152106