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A systematic approach to the search for variational principles for plane steady flows
Authors:O.P. Bhutani  Neelam Arora
Affiliation:Department of Mathematics, Indian Institute of Technology, New Delhi-110029, India
Abstract:
Using Vainberg's theorem of nonlinear potential operators, alternate potential principles associated with the differential equations governing the gasdynamics of plane steady irrotational diabatic flow and isoenergetic rotational adiabatic flow are formulated and their equivalence with Bateman's principle is established. Further, the advantage usefulness of treating a single nonlinear equation for the existence and hence formulation of a functional over the equivalent system for the same problem is brought into sharper focus.
Keywords:
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