The application of generalized Cole-Hopf substitutions in compressible-fluid hydrodynamics |
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| Authors: | V. M. Zhuravlev and D. A. Zinov’ev |
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| Affiliation: | 1.Ul’ yanovsk State University,Ul’ yanovsk,Russia |
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| Abstract: | The method for integrating nonlinear equations using generalized Cole-Hopf substitutions is extended to the 1+2 dimension. The general structure of the solutions to the Euler equations for 2D compressible-fluid flows is analyzed. A method is developed for constructing new exact solutions to describe 2D flows of compressible and incompressible fluids. |
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