In differential geometry, Liouville's equation, named after Joseph Liouville, is the nonlinear ordinary differential equation satisfied by the conformal factor f of a metric f^2 (dx^2 + dy^2) on a surface of constant Gaussian curvature K:
双语例句
1
Applying BBGKY equation obtained from Liouville'sequation to a system with many components, the irreversible chemical reaction-diffusion equation can be deduced.
把由刘维方程推得的BBGKY方程用于多元系，可导出不可逆化学反应扩散方程。
2
Of the four equations the basic equation is the continuum equation of phase space for the guiding center which has its root in the Liouville's theorem.