some more typos and a few nablas that were left unbolded

NOAA-GFDL · Mar 12, 2019 · d263de4 · d263de4
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diff --git a/docs/equations/general_coordinate.rst b/docs/equations/general_coordinate.rst
@@ -11,7 +11,7 @@ The Boussinesq hydrostatic equations of motion in general-coordinate
 .. math::
   D_t \boldsymbol{u} + f \widehat{\boldsymbol{k}} \wedge \boldsymbol{u} + \boldsymbol{\nabla}_z \Phi + \frac{1}{\rho_o} \boldsymbol{\nabla}_z p &= \boldsymbol{\nabla} \cdotp \boldsymbol{\underline{\tau}} ,\\
   \rho \partial_z \Phi + \partial_z p &= 0 ,\\
-  \partial_t z_r + \nabla_r \cdotp ( z_r \boldsymbol{u} ) + \partial_r ( z_r \dot{r} ) &= 0 ,\\
-  \partial_t z_r \theta + \nabla_r \cdotp ( z_r \boldsymbol{u} \theta ) + \partial_r ( z_r \dot{r} \theta ) &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_\theta ,\\
-  \partial_t z_r S + \nabla_r \cdotp ( z_r \boldsymbol{u} S ) + \partial_r ( z_r \dot{r} S ) &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_S ,\\
+  \partial_t z_r + \boldsymbol{\nabla}_r \cdotp ( z_r \boldsymbol{u} ) + \partial_r ( z_r \dot{r} ) &= 0 ,\\
+  \partial_t z_r \theta + \boldsymbol{\nabla}_r \cdotp ( z_r \boldsymbol{u} \theta ) + \partial_r ( z_r \dot{r} \theta ) &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_\theta ,\\
+  \partial_t z_r S + \boldsymbol{\nabla}_r \cdotp ( z_r \boldsymbol{u} S ) + \partial_r ( z_r \dot{r} S ) &= \boldsymbol{\nabla} \cdotp \boldsymbol{Q}_S ,\\
   \rho &= \rho(S, \theta, z) .
diff --git a/docs/equations/overview.rst b/docs/equations/overview.rst
@@ -4,7 +4,7 @@ Equations
 The model equations are the layer-integrated vector-invariant form of the
 hydrostatic primitive equations (either Boussinesq or non-Boussinesq).
 
-We present the equations starting from the hydrostatic Boussinesq equation is
+We present the equations starting from the hydrostatic Boussinesq equation in
 height coordinates and progress through vector-invariant and
 general-coordinate equations to the final equations used in the A.L.E.
 algorithm.

diff --git a/docs/equations/vector_invariant_eqns.rst b/docs/equations/vector_invariant_eqns.rst
@@ -3,9 +3,9 @@
 Vector Invariant Equations
 ==========================
 
-MOM6 solve the momentum equations written in vector-invariant form.
+MOM6 solves the momentum equations written in vector-invariant form.
 
-An identity allows the total derivative of velocity to be written in the vector-invariant form:
+A vector identity allows the total derivative of velocity to be written in the vector-invariant form:
 
 .. math::
   D_t \boldsymbol{u} &= \partial_t \boldsymbol{u} + \boldsymbol{v} \cdotp \boldsymbol{\nabla} \boldsymbol{u} \\