# Difference between revisions of "Governing equations"

From Interactive System for Ice sheet Simulation

(New page: In Cartesian coordinates, the Stokes equations are given by, <math>\begin{align} & x:\quad \frac{\partial \tau _{xx}}{\partial x}-\frac{\partial P}{\partial x}+\frac{\partial \tau _{xy...) |
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− | <math>\tau _{ij}=\sigma _{ij}+P\delta _{ij}</math>, | + | <big><math>\tau _{ij}=\sigma _{ij}+P\delta _{ij}</math></big>, |

where <big>σ</big> is the full stress tensor. | where <big>σ</big> is the full stress tensor. |

## Revision as of 11:53, 30 July 2009

In Cartesian coordinates, the Stokes equations are given by,

,

where *P* is the pressure and τ is the deviatoric stress tensor. The latter is given by

,

where σ is the full stress tensor.