A Comparison of Numerical Methods for the Hele-Shaw         Equations
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This is a Minority Research Inititation (MRI) Planning Grant to develop         new numerical techniques to study the velocity field in the interface           between two fluids.  Small disturbances that occur when one fluid               displaces another fluid in a porous medium will receive special                 attention.  These disturbances cause the interface to be stable or              unstable.  Usually, these interfaces are three-dimensional and                  difficult to study both experimentally and numerically.  The proposer           will use a code which appears to handle problems of this nature.                                                                                                The planning grant will provide support for a well-trained minority             mathematician to prepare a competitive proposal to submit to the MRI            research initiation component.
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