Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number

CSIC Building (#406), Seminar Room 4122.
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Unfolding Singularities in the Incompressible Euler Equations

                       Russel Caflisch
 

                                        Department of Mathematics, University of California, Los Angeles

Abstract: This talk will describe analysis of singularities in the complex plane for the incompressible Euler equations. For singularities of special type, we are able to unfold the singularities; i.e., we find a transformation of the variables so that the resulting equations are nonsingular. Possible application to the problem of formation of real singularities is discussed.
[LECTURE SLIDES]