Nonlinear waves in self-gravitating compressible fluid and generalized Cole-Hopf substitutions |
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| Authors: | V. M. Zhuravlev D. A. Zinov’ev |
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| Affiliation: | (1) Department of Mathematics, Seoul National University, Seoul, Korea;(2) Level Set Systems, Inc, 1058 Embury street, Pacific palisadas, CA 90272–2501, USA;(3) Department of Mathematics, University of California, Los Angeles, CA 90095, USA |
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| Abstract: | A general representation of solutions is constructed for one-dimensional flows of viscous compressible fluid, which allows their exact solutions to be found. A general representation of solutions to Euler equations for three-dimensional compressible fluid flows is found. By analogy, a representation is constructed for flows in a uniformly rotating frame of reference. |
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