Iterations of the nonclassical symmetries method applied to both the Prandtl equation and Prandtl system give rise to new nonlinear equations, which inherit the Lie symmetry algebra of the original Prandtl equation (system). Invariant solutions of these heir equations supply new solutions of the original equation (system).
ALLASSIA F., NUCCI, M.C. (1996). Symmetries and heir equations for the laminar boundary layer model. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 201(3), 911-942 [10.1006/jmaa.1996.0292].
Symmetries and heir equations for the laminar boundary layer model
NUCCI, Maria Clara
1996
Abstract
Iterations of the nonclassical symmetries method applied to both the Prandtl equation and Prandtl system give rise to new nonlinear equations, which inherit the Lie symmetry algebra of the original Prandtl equation (system). Invariant solutions of these heir equations supply new solutions of the original equation (system).File in questo prodotto:
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