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Cosymmetry, degeneration of solutions of operator equations, and onset of a filtration convection

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Literature cited

  1. D. V. Lyubimov, “On convective motions in a porous medium, being heated from below,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 131–137 (1975).

    Google Scholar 

  2. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  3. P. Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag, Berlin-New York (1986).

    Google Scholar 

  4. M. M. Vainberg and V. A. Trenogin, Branching Theory of Solutions of Nonlinear Equations [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  5. M. A. Krasnosel'skii, Topological Methods in the Theory of Nonlinear Integral Equations [in Russian], Gosudarstvennoe Izdatel'stvo Tekhnikoteoreticheskoi Literatury, Moscow (1956).

    Google Scholar 

  6. Y. Katto and T. Masuoka, “Criterion for the onset of convective flow in a fluid in a porous medium,” Int. J. Heat Mass Transfer,10, No. 3, 297–309 (1967).

    Google Scholar 

  7. V. I. Yudovich, The Linearization Method in the Hydrodynamic Theory of Stability [in Russian], Izdatel'stvo Rostov. Gos. Universiteta, Rostov-on-Don (1984).

    Google Scholar 

  8. V. S. Sorokin, “On the stationary motions in a fluid, heated from below,” Prikl. Mat. Mekh.,18, No. 2, 197–204 (1954).

    Google Scholar 

  9. V. I. Yudovich, “Free convection and branching,” Prikl. Mat. Mekh.,31, No. 1, 101–111 (1967).

    Google Scholar 

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Authors and Affiliations

  1. Rostov State University, USSR

    V. I. Yudovich

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  1. V. I. Yudovich
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Translated from Matematicheskie Zametki, Vol. 49, No. 5, pp. 142–148, May, 1991.

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Yudovich, V.I. Cosymmetry, degeneration of solutions of operator equations, and onset of a filtration convection. Mathematical Notes of the Academy of Sciences of the USSR 49, 540–545 (1991). https://doi.org/10.1007/BF01142654

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  • DOI: https://doi.org/10.1007/BF01142654

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