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Pseudodifferential operators in the theory of multiphase, multi-rate flows

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Abstract

This paper shows that for mechanical systems, the dimension of whose base space is larger than time (there also exist spatial coordinates), the system of equations defining the evolution of the system must be a hyperbolic system of pseudodifferential equations.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, Moscow, Russia

    R. R. Aidagulov & M. V. Shamolin

Authors
  1. R. R. Aidagulov
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  2. M. V. Shamolin
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Correspondence to M. V. Shamolin.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 65, Mathematical Physics, Combinatorics, and Optimal Control, 2009.

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Aidagulov, R.R., Shamolin, M.V. Pseudodifferential operators in the theory of multiphase, multi-rate flows. J Math Sci 165, 616–636 (2010). https://doi.org/10.1007/s10958-010-9832-1

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  • DOI: https://doi.org/10.1007/s10958-010-9832-1

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