Journal of Mathematical Sciences

, Volume 165, Issue 6, pp 616–636 | Cite as

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

  • R. R. Aidagulov
  • M. V. Shamolin


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.


Cauchy Problem Dispersive Relation Base Space PSEUDODIFFERENTIAL Operator Multiphase Medium 
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© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.Institute of MechanicsMoscow State UniversityMoscowRussia

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