dorsal/arxiv
View SchemaLagrangian dynamics of the Navier-Stokes equation
| Authors | A. Sulaiman, L. T. Handoko |
|---|---|
| Categories | |
| ArXiv ID | physics/0508092 |
| URL | https://arxiv.org/abs/physics/0508092 |
| Journal | Proceeding of the ICAM 2005 |
Abstract
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 $\A_\mu$ with appropriate content describing the fluid dynamics, i.e. $\A_\mu = (\Phi, -\uv)$. An example of applying the lagrangian to the interaction of fluid in a solitonic medium is also given.
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"abstract": "Most researches on fluid dynamics are mostly dedicated to obtain the\nsolutions of Navier-Stokes equation which governs fluid flow with particular\nboundary conditions and approximations. We propose an alternative approach to\ndeal with fluid dynamics using the lagrangian. We attempt to develop a gauge\ninvariant lagrangian which reconstructs the Navier-Stokes equation through the\nEuler-Lagrange equation. The lagrangian consists of gauge boson field $\\A_\\mu$\nwith appropriate content describing the fluid dynamics, i.e. $\\A_\\mu = (\\Phi,\n-\\uv)$. An example of applying the lagrangian to the interaction of fluid in a\nsolitonic medium is also given.",
"arxiv_id": "physics/0508092",
"authors": [
"A. Sulaiman",
"L. T. Handoko"
],
"categories": [
"physics.flu-dyn"
],
"journal_ref": "Proceeding of the ICAM 2005",
"title": "Lagrangian dynamics of the Navier-Stokes equation",
"url": "https://arxiv.org/abs/physics/0508092"
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