A ug 2 00 5 Gauge field theory approach to construct the Navier - Stokes equation
نویسنده
چکیده
We construct the Navier-Stokes equation from first principle using relativistic bosonic lagrangian which is invariant under local gauge transformations. We show that by defining the bosonic field to represent the dynamic of fluid in a particular form, a general Navier-Stokes equation with conservative forces can be reproduced exactly. It also induces two new forces, one is relevant for rotational fluid, and the other is due to the fluid's current or density. This approach provides an underlying theory to apply the tools in field theory to the problems in fluid dynamics.
منابع مشابه
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Most researches on fluid dynamics are mostly dedicated to obtain the solutions of Navier-Stokes equation which governs fluid flow with particular boundary conditions and approximations. We propose an alternative approach to deal with fluid dynamics using the lagrangian. We attempt to develop a gauge invariant lagrangian which reconstructs the Navier-Stokes equation through the Euler-Lagrange eq...
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