2005/08/15 by A. Sulaiman, L. T. Handoko
Physics and Astronomy · #physics.flu-dyn
published as Proceeding of the ICAM 2005 · 9 pages, 1 figure, talk at the International Conference on Applied Mathematics 2005, Bandung
arxiv created 2005/08/15 · arxiv updated 2009/12/01
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 equation. The lagrangian consists of gauge boson field \Aμ with appropriate content describing the fluid dynamics, i.e. \Aμ= (Φ, -\uv). An example of applying the lagrangian to the interaction of fluid in a solitonic medium is also given.