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Group classification of Buckley–Leverett system

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Abstract

In this work the group classification of Buckley–Leverett system is studied. The symmetry algebras of Buckley–Leverett systems are calculated and the fields of differential invariants for the actions of these algebras are found.

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Notes

  1. This consideration was requested by S. Tychkov and V. Lychagin.

References

  1. Alekseevskii D., Vinogradov A., Lychagin V.: Basic ideas and concepts of differential geometry. VINITI, 28 (1988). English translation in Geometry I. Encycl. Math. Sci. 28 (1991)

  2. Buckley, S., Leverett, M.: Mechanism of Fluid Displacement in Sands, Transactions of the AIME. Society of Petroleum Engineers (SPE) 146, 107–116 (1942)

    Google Scholar 

  3. Isaeva, A.V., Serdobol’skaya, M.L.: Solving the BuckleyLeverett equation with a random coefficient of porosity Vychisl. Metody Programm. 13(4), 517–524 (2012)

    Google Scholar 

  4. Trangenstein, J.A.: Numerical solution of hyperbolic partial differential equations. Cambridge Univ. Press, Cambridge (2007)

    Google Scholar 

  5. Kushner A., Lychagin V., Rubtsov V.: Contact geometry and non-linear differential equations. N. York: Cambridge University Press, xxi+497 P. (2007)

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Authors and Affiliations

  1. Institute of Control Sciences RAS, Moscow, Russian Federation

    P. Bibikov

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  1. P. Bibikov
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Correspondence to P. Bibikov.

Additional information

P. Bibikov: The author is supported by RNF (Grant 15-19-00275).

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Bibikov, P. Group classification of Buckley–Leverett system. Anal.Math.Phys. 8, 37–42 (2018). https://doi.org/10.1007/s13324-016-0161-5

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  • DOI: https://doi.org/10.1007/s13324-016-0161-5

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