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Methods of Generalized and Functional Separation of Variables in Hydrodynamic and Heat- and Mass-Transfer Equations

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Abstract

New direct methods are suggested for constructing exact solutions of hydrodynamic and heat- and mass-transfer equations by the generalized and functional separation of variables. These methods are based on analyzing functional and functional differential equations involving unknown functions of different variables. Specific examples are considered, and new exact solutions are obtained for the equations of a hydrodynamic boundary layer, the Navier–Stokes equations, and the nonlinear heat- and mass-transfer equations.

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  1. Institute for Problems of Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, Moscow, 117526, Russia

    A. D. Polyanin & A. I. Zhurov

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  1. A. D. Polyanin
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  2. A. I. Zhurov
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Polyanin, A.D., Zhurov, A.I. Methods of Generalized and Functional Separation of Variables in Hydrodynamic and Heat- and Mass-Transfer Equations. Theoretical Foundations of Chemical Engineering 36, 201–213 (2002). https://doi.org/10.1023/A:1015848717913

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