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Doubly periodic patterns of modulated hydrodynamic waves: exact solutions of the Davey--Stewartson system
Free surface waves Periodic patterns Davey–Stewartson equations
2012/2/29
Exact doubly periodic standing wave patterns of the Davey--Stewartson (DS) equations are derived in terms of rational expressions of elliptic functions. In fluid mechanics, DS equations govern the evo...
Exact solutions of unsteady dusty fluid flow through porous media in an open rectangular channel
Frenet frame field system laminar flow rectangular channel
2010/9/27
Solutions are presented for the problem of the motion of a dusty gas through Porous Media in an Open Rectangular Channel. It is assumed that the fluid and the dust particle clouds are static at the be...