纳维-斯托克斯方程的拉格朗日动力学
Lagrangian dynamics of the Navier-Stokes equation
摘要：
大多数流体动力学的研究主要致力于求解控制流体流动的纳维-斯托克斯方程，该方程具有特定的边界条件和近似。我们提出了另一种方法来处理流体动力学使用拉格朗日。我们试图发展一个规范不变的拉格朗日量，它通过欧拉-拉格朗日方程重建纳维-斯托克斯方程。拉格朗日量由规范玻色子场$\A_μ$和描述流体动力学的适当内容组成，即$\A_μ= (Φ, -\uv)$。文中还给出了一个应用拉格朗日量研究孤立子介质中流体相互作用的例子。
英文摘要：
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 $\A_μ$ with appropriate content describing the fluid dynamics, i.e. $\A_μ= (Φ, -\uv)$. An example of applying the lagrangian to the interaction of fluid in a solitonic medium is also given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
