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Using fluid variational variables to obtain new analytic solutions with nonzero helicity

Date: 
Monday 23rd July 2012 - 15:10 to 15:30
Venue: 
INI Seminar Room 1
Session Chair: 
Mitch Berger
Abstract: 
Flow equations being nonlinear are notoriously difficult to solve analytically. In this work we show that through the three independent functions variational formalism for stationary barotropic flows one can obtain new analytical solutions of the flow equations. The flows are constructed such that they flow on predetermined Bernoullian surfaces from which the rest of the variational variables are derived. The flow obtained has non zero helicity.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons