Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Computing the potential from the continuity equation

  1. Mar 20, 2009 #1
    Dear All,
    I need help on the following issue. Assuming the flow to be potential, I want to compute the potential given the density at all times, that is :

    From the continuity equation:

    \partial _t \rho + \nabla \cdot \left( {\rho \nabla \phi } \right) =

    One can write down an elliptic PDE for finding the potential at a
    fixed time t (this is a PDE in space only):

    - \rho \Delta \phi - \nabla \rho \cdot \nabla \phi = \partial
    _t \rho

    If one wants to impose the homogeneous Neumann boundary conditions,
    what are the results about the existence and the regularity of the

    If you have any knowledge about this problem, please help.


  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Discussions: Computing the potential from the continuity equation
  1. Continuity equation (Replies: 1)