... | ... | @@ -32,9 +32,9 @@ $`\left\lbrace \begin{array}{lllll} |
|
|
D _{RR} & & & = & {\partial v_R \over \partial R}\\
|
|
|
D _{\varphi \varphi} & & & = & {1\over R}{\partial v_\varphi \over \partial \varphi}+{v_R\over R}\\
|
|
|
D_{\theta \theta} & & & = & {1\over R\sin \varphi}{\partial v_\theta \over \partial \theta}+{v_R\over R}+{v_\varphi \cot(\varphi)\over R}\\
|
|
|
D _{R\varphi} & = & D _{\varphi R} & = & {1\over 2}({1\over R}{\partial v_R \over \partial \varphi}+R{\partial \over \partial R}{v_{\varphi}\over R}) \\
|
|
|
D _{\theta\varphi}& = & D _{\varphi\theta} & = & {1\over 2}({1\over R\sin (\varphi)}{\partial v_\varphi \over \partial \theta}+{\sin (\varphi) \over R} {\partial \over \partial \varphi }{v_\theta \over \sin (\varphi)}) \\
|
|
|
D _{R\theta} & = & D _{\theta R} & = & {1\over 2}(R{\partial \over \partial R}{v_\theta \over R}+{1\over R\sin (\varphi)} {\partial v_R
|
|
|
D _{R\varphi} & = & D _{\varphi R} & = & ({1\over R}{\partial v_R \over \partial \varphi}+R{\partial \over \partial R}{v_{\varphi}\over R}) \\
|
|
|
D _{\theta\varphi}& = & D _{\varphi\theta} & = & ({1\over R\sin (\varphi)}{\partial v_\varphi \over \partial \theta}+{\sin (\varphi) \over R} {\partial \over \partial \varphi }{v_\theta \over \sin (\varphi)}) \\
|
|
|
D _{R\theta} & = & D _{\theta R} & = & (R{\partial \over \partial R}{v_\theta \over R}+{1\over R\sin (\varphi)} {\partial v_R
|
|
|
\over \partial \theta})
|
|
|
\end{array} \right. `$
|
|
|
|
... | ... | |