Induction Equation ==================================================================== ======================================================================================================================================= ====== =========================== :math:`\left[\boldsymbol{B}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_r` 1601 induct\_shear\_r :math:`-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v} \right)B_r` 1602 induct\_comp\_r :math:`-\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{B}\right]_r` 1603 induct\_advec\_r :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v}\times\boldsymbol{B}\right)\right]_r` 1604 induct\_r :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B}\right)\right]_r` 1605 induct\_diff\_r :math:`\left[\boldsymbol{B}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_\theta` 1606 induct\_shear\_theta :math:`-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v} \right)B_\theta` 1607 induct\_comp\_theta :math:`-\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{B}\right]_\theta` 1608 induct\_advec\_theta :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v}\times\boldsymbol{B}\right)\right]_\theta` 1609 induct\_theta :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B}\right)\right]_\theta` 1610 induct\_diff\_theta :math:`\left[\boldsymbol{B}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]_\phi` 1611 induct\_shear\_phi :math:`-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v} \right)B_\phi` 1612 induct\_comp\_phi :math:`-\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{B}\right]_\phi` 1613 induct\_advec\_phi :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v}\times\boldsymbol{B}\right)\right]_\phi` 1614 induct\_phi :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B}\right)\right]_\phi` 1615 induct\_diff\_phi :math:`\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_r` 1616 induct\_shear\_vmbm\_r :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)\overline{B_r}` 1617 induct\_comp\_vmbm\_r :math:`-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_r` 1618 induct\_advec\_vmbm\_r :math:`\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\overline{\boldsymbol{B}}\right)\right]_r` 1619 induct\_vmbm\_r :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\right]_r` 1620 induct\_diff\_bm\_r :math:`\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\theta` 1621 induct\_shear\_vmbm\_theta :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)\overline{B_\theta}` 1622 induct\_comp\_vmbm\_theta :math:`-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_\theta` 1623 induct\_advec\_vmbm\_theta :math:`\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\overline{\boldsymbol{B}}\right)\right]_\theta` 1624 induct\_vmbm\_theta :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\right]_\theta` 1625 induct\_diff\_bm\_theta :math:`\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\phi` 1626 induct\_shear\_vmbm\_phi :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)\overline{B_\phi}` 1627 induct\_comp\_vmbm\_phi :math:`-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_\phi` 1628 induct\_advec\_vmbm\_phi :math:`\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\overline{\boldsymbol{B}}\right)\right]_\phi` 1629 induct\_vmbm\_phi :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\right]_\phi` 1630 induct\_diff\_bm\_phi :math:`\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_r` 1631 induct\_shear\_vmbp\_r :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)B'_r` 1632 induct\_comp\_vmbp\_r :math:`-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_r` 1633 induct\_advec\_vmbp\_r :math:`\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\boldsymbol{B'}\right)\right]_r` 1634 induct\_vmbp\_r :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\right]_r` 1635 induct\_diff\_bp\_r :math:`\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\theta` 1636 induct\_shear\_vmbp\_theta :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)B'_\theta` 1637 induct\_comp\_vmbp\_theta :math:`-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_\theta` 1638 induct\_advec\_vmbp\_theta :math:`\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\boldsymbol{B'}\right)\right]_\theta` 1639 induct\_vmbp\_theta :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\right]_\theta` 1640 induct\_diff\_bp\_theta :math:`\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\phi` 1641 induct\_shear\_vmbp\_phi :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\overline{\boldsymbol{v}} \right)B'_\phi` 1642 induct\_comp\_vmbp\_phi :math:`-\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_\phi` 1643 induct\_advec\_vmbp\_phi :math:`\left[\boldsymbol{\nabla}\times\left(\overline{\boldsymbol{v}}\times\boldsymbol{B'}\right)\right]_\phi` 1644 induct\_vmbp\_phi :math:`-c_7\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\right]_\phi` 1645 induct\_diff\_bp\_phi :math:`\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_r` 1646 induct\_shear\_vpbm\_r :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\boldsymbol{v'} \right)\overline{B_r}` 1647 induct\_comp\_vpbm\_r :math:`-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_r` 1648 induct\_advec\_vpbm\_r :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\overline{\boldsymbol{B}}\right)\right]_r` 1649 induct\_vpbm\_r :math:`\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\theta` 1650 induct\_shear\_vpbm\_theta :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\boldsymbol{v'} \right)\overline{B_\theta}` 1651 induct\_comp\_vpbm\_theta :math:`-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_\theta` 1652 induct\_advec\_vpbm\_theta :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\overline{\boldsymbol{B}}\right)\right]_\theta` 1653 induct\_vpbm\_theta :math:`\left[\overline{\boldsymbol{B}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\phi` 1654 induct\_shear\_vpbm\_phi :math:`-\left(\overline{\boldsymbol{\nabla}}\cdot\boldsymbol{v'} \right)\overline{B_\phi}` 1655 induct\_comp\_vpbm\_phi :math:`-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{B}}\right]_\phi` 1656 induct\_advec\_vpbm\_phi :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\overline{\boldsymbol{B}}\right)\right]_\phi` 1657 induct\_vpbm\_phi :math:`\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_r` 1658 induct\_shear\_vpbp\_r :math:`-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)B'_r` 1659 induct\_comp\_vpbp\_r :math:`-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_r` 1660 induct\_advec\_vpbp\_r :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]_r` 1661 induct\_vpbp\_r :math:`\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\theta` 1662 induct\_shear\_vpbp\_theta :math:`-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)B'_\theta` 1663 induct\_comp\_vpbp\_theta :math:`-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_\theta` 1664 induct\_advec\_vpbp\_theta :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]_\theta` 1665 induct\_vpbp\_theta :math:`\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\phi` 1666 induct\_shear\_vpbp\_phi :math:`-\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)B'_\phi` 1667 induct\_comp\_vpbp\_phi :math:`-\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]_\phi` 1668 induct\_advec\_vpbp\_phi :math:`\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]_\phi` 1669 induct\_vpbp\_phi ======================================================================================================================================= ====== ===========================