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        ISSN 2086-5325 20 Juni 2005  
 
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Applications of Fluid Dynamics based on Gauge Field Theory Approach

Ketut Eko Ari Saputro

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Abstrak

Recently, a new approach to deal with the Navier-Stokes equation has been developed. The equation which governs the fluid dynamics is a a non-linear one and then generally unsolvable. In the new approach, the fluid dynamics is described using the relativistic gauge invariant bosonic lagrangian which could reproduce the Navier-Stokes equation as its equation of motion through the Euler-Lagrange principle. Based on the lagrangian we model the fluid dynamics phenomenon as scattering of either three or four fluid bunches represented by the gauge field $A_\mu = (\phi, \a) \equiv \left( \frac{d}{2} \left| \u \right|^2 - V, - d \u \right)$ with $\u$ is velocity and $d$ is a parameter to adjust the dimension for any potential $V$. Further we present all relevant Fynman rules and diagrams, and also provide complete calculations for all vertices induced by three and four fluid fields interactions.

Publikasi : Tesis S2 (2005)
Tanggal masuk / revisi : 20 Juni 2005 / 6 Juli 2005
Naskah lengkap : format PDF (274.331 byte)
Kontak : Ketut Eko Ari Saputro
Keterangan : fisika teoritik
50 halaman
bahasa Inggris

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