vladimir onoprienko edited begin_equation_3_begin_align__.tex  about 8 years ago

Commit id: a4f97f388c51bd7868abe00575ba45371921b16b

deletions | additions      

       

\to  \frac{\partial}{\partial y} \left( v \frac{\partial u}{\partial y}\right)   = \frac{\partial v}{\partial y} \cdot \frac{\partial u}{\partial y} + v \frac{\partial^2 u}{\partial y^2}   &= -\frac{\partial}{\partial \frac{\partial}{\partial  y} \left[ \frac{\partial \zeta}{\partial x} \cdot \frac{\partial}{\partial y} \left( -\frac{\partial \zeta}{\partial y} \right) \right] = \\ %newline   &=-\frac{\partial^2 \zeta}{\partial x \partial y } \cdot \frac{\partial^2 \zeta}{\partial y^2 }   + -\frac{\partial \zeta}{\partial x } \cdot \frac{\partial^3 \zeta}{\partial y^3}\\