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Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids

  • Alexander E. Mamontov
  • Dmitry A. ProkudinEmail author
Article
First Online:

Abstract

We consider the equations which describe polytropic one-dimensional flows of viscous compressible multifluids. We prove global existence and uniqueness of a solution to the initial-boundary value problem which corresponds to the flow in a bounded space domain.

Keywords

Multifluid Viscous compressible flow Initial-boundary value problem Polytropic flow Global existence Uniqueness 

Mathematics Subject Classification

Primary 76N10 Secondary 76T99 
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Notes

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Lavrentyev Institute of Hydrodynamics SB RASNovosibirsk State UniversityNovosibirskRussian Federation
  2. 2.Lavrentyev Institute of Hydrodynamics SB RASVoronezh State UniversityNovosibirskRussian Federation

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