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Resolution limits of continuous media mode and their mathematical formulations

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Abstract

In this work we present new mathematical formulations for several classical models of a continuum media. The developed formulations take into account the physical constraints on the details of its description. As compared to classical approaches, the presented ones introduce additional terms, which enable the effective solution of these problems on high-performance computer systems.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    B. N. Chetverushkin

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  1. B. N. Chetverushkin
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Correspondence to B. N. Chetverushkin.

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Original Russian Text © B.N. Chetverushkin, 2012, published in Matematicheskoe Modelirovanie, 2012, Vol. 24, No. 11, pp. 33–52.

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Chetverushkin, B.N. Resolution limits of continuous media mode and their mathematical formulations. Math Models Comput Simul 5, 266–279 (2013). https://doi.org/10.1134/S2070048213030034

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