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Up-down asymmetric exact solutions to the Navier-Stokes equations
Applied Physics Reviews ( IF 12.750 ) Pub Date : 2019-12-26 , DOI: 10.1063/1.5128370
Oleg Bogoyavlenskij

Exact up-down asymmetric solutions to the Navier-Stokes equations for a viscous and incompressible fluid with time-dependent viscosity ν(t) are derived. Transformations of the exact solutions are defined that produce an infinite sequence of new solutions from each known one. The solutions are presented in terms of elementary functions and have no singularities. Three infinite-dimensional families of new exact axisymmetric unsteady solutions to the viscous magnetohydrodynamics equations are derived. Dynamics of vortex rings and vortex blobs is studied for some exact up-down asymmetric incompressible viscous fluid flows and viscous plasma flows.
更新日期:2019-12-31

 

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