This is TeX, Version 3.14159 (C version 6.1) (format=latex 96.10.15)  1 DEC 1996 21:43
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! Undefined control sequence.
<argument> \partialt 
                     
l.247 ...n{equation}\frac{\partial\eta}{\partialt}
                                                   + \frac{\partialu D}{\par...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialu 
                     D
l.247 ...partialt} + \frac{\partialu D}{\partialx}
                                                   + \frac{\partialv D}{\par...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.247 ...partialt} + \frac{\partialu D}{\partialx}
                                                   + \frac{\partialv D}{\par...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialv 
                     D
l.247 ...partialx} + \frac{\partialv D}{\partialy}
                                                   + \frac{\partial\omega}{\...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.247 ...partialx} + \frac{\partialv D}{\partialy}
                                                   + \frac{\partial\omega}{\...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[10

]
! Undefined control sequence.
<argument> \partialuD 
                      
l.253 ...gin{eqnarray}\frac{\partialuD}{\partialt}
                                                   + \frac{\partialu^2 D}{\p...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialt 
                     
l.253 ...gin{eqnarray}\frac{\partialuD}{\partialt}
                                                   + \frac{\partialu^2 D}{\p...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialu 
                     ^2 D
l.253 ...rtialt} + \frac{\partialu^2 D}{\partialx}
                                                   + \frac{\partialu v D}{\p...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.253 ...rtialt} + \frac{\partialu^2 D}{\partialx}
                                                   + \frac{\partialu v D}{\p...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialu 
                     v D
l.253 ...rtialx} + \frac{\partialu v D}{\partialy}
                                                   + \frac{\partialu \omega}...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.253 ...rtialx} + \frac{\partialu v D}{\partialy}
                                                   + \frac{\partialu \omega}...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialu 
                     \omega 
l.253 ...+ \frac{\partialu \omega}{\partial\sigma}
                                                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.254 ... v D + g D \frac{\partial\eta}{\partialx}
                                                    =   \nonumber \\
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialu 
                     
l.255 ...{K_M}{D} \frac{\partialu}{\partial\sigma}
                                                   \right\}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.256 ...g D^2}{\rho_0} \frac{\partial}{\partialx}
                                                   \int_{\sigma}^{0} \rho d\...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialD 
                     
l.257 ...c{gD}{\rho_0} \frac{\partialD}{\partialx}
                                                   \int_{\sigma}^{0} \sigma ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.257 ...c{gD}{\rho_0} \frac{\partialD}{\partialx}
                                                   \int_{\sigma}^{0} \sigma ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[11

]
! Undefined control sequence.
<argument> \partialuD 
                      
l.264 ...gin{eqnarray}\frac{\partialuD}{\partialt}
                                                   + \frac{\partialuv D}{\pa...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialt 
                     
l.264 ...gin{eqnarray}\frac{\partialuD}{\partialt}
                                                   + \frac{\partialuv D}{\pa...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialuv 
                      D
l.264 ...artialt} + \frac{\partialuv D}{\partialx}
                                                   + \frac{\partialv^2 D}{\p...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.264 ...artialt} + \frac{\partialuv D}{\partialx}
                                                   + \frac{\partialv^2 D}{\p...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialv 
                     ^2 D
l.264 ...rtialx} + \frac{\partialv^2 D}{\partialy}
                                                   + \frac{\partialv \omega}...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.264 ...rtialx} + \frac{\partialv^2 D}{\partialy}
                                                   + \frac{\partialv \omega}...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialv 
                     \omega 
l.264 ...+ \frac{\partialv \omega}{\partial\sigma}
                                                  
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.265 ... u D + g D \frac{\partial\eta}{\partialy}
                                                    =   \nonumber \\
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialv 
                     
l.266 ...{K_M}{D} \frac{\partialv}{\partial\sigma}
                                                   \right\}
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.267 ...g D^2}{\rho_0} \frac{\partial}{\partialy}
                                                   \int_{\sigma}^{0} \rho d\...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialD 
                     
l.268 ...c{gD}{\rho_0} \frac{\partialD}{\partialy}
                                                   \int_{\sigma}^{0} \sigma ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.268 ...c{gD}{\rho_0} \frac{\partialD}{\partialy}
                                                   \int_{\sigma}^{0} \sigma ...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[12

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[20

]
! Undefined control sequence.
<argument> \partialx 
                     
l.315 ...equation}F_x = \frac{\partial}{\partialx}
                                                   \left( 2 A_M D \frac{\par...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialu 
                     
l.315 ...left( 2 A_M D \frac{\partialu}{\partialx}
                                                   \right) +
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.315 ...left( 2 A_M D \frac{\partialu}{\partialx}
                                                   \right) +
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.316  \frac{\partial}{\partialy}
                                  \left[ A_M D \left( \frac{\partialu}{\part...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialu 
                     
l.316 ... A_M D \left( \frac{\partialu}{\partialy}
                                                   + \frac{\partialv}{\parti...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.316 ... A_M D \left( \frac{\partialu}{\partialy}
                                                   + \frac{\partialv}{\parti...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialv 
                     
l.316 ...{\partialy} + \frac{\partialv}{\partialx}
                                                   \right) \right]
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.316 ...{\partialy} + \frac{\partialv}{\partialx}
                                                   \right) \right]
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

[21

]
! Undefined control sequence.
<argument> \partialx 
                     
l.323  \frac{\partial}{\partialx}
                                 \left[ A_M D \left( \frac{\partialu}{\parti...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialu 
                     
l.323 ... A_M D \left( \frac{\partialu}{\partialy}
                                                   + \frac{\partialv}{\parti...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.323 ... A_M D \left( \frac{\partialu}{\partialy}
                                                   + \frac{\partialv}{\parti...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialv 
                     
l.323 ...{\partialy} + \frac{\partialv}{\partialx}
                                                   \right) \right]  +
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialx 
                     
l.323 ...{\partialy} + \frac{\partialv}{\partialx}
                                                   \right) \right]  +
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
l.324 \frac{\partial}{\partialy}
                                \left( 2 A_M D \frac{\partialv}{\partialy} \...
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialv 
                     
l.324 ...left( 2 A_M D \frac{\partialv}{\partialy}
                                                   \right) .
The control sequence at the end of the top line
of your error message was never \def'ed. If you have
misspelled it (e.g., `\hobx'), type `I' and the correct
spelling (e.g., `I\hbox'). Otherwise just continue,
and I'll forget about whatever was undefined.

! Undefined control sequence.
<argument> \partialy 
                     
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