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Principal Governing Equations

According to Landau and Lifshitz's (1975) eloquent discussion of the broad subject of Fluid Mechanics, the state of a moving fluid is determined by five quantities: the three components of the velocity <math>\vec{v}</math> and, for example, the pressure <math>P</math> and the density <math> \rho </math> . For our discussions of astrophysical fluid systems throughout this Hypertext Book [H_Book], we will add to this the gravitational potential <math> \Phi </math>. Accordingly, a complete system of equations of fluid dynamics should be six in number. For an ideal fluid these are:

<math>x \implies y</math>

<math>\frac{x^3}{5+6}</math>

<math>\int_{1}^{3}\frac{e^3/x}{x^2}\, dx</math>

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