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. Prokudin

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Article number9
Number of pages10
JournalJournal of Mathematical Fluid Mechanics
Volume21
Issue number1
DOIs
Publication statusPublished - 1 Mar 2019

Keywords

  • Global existence
  • Initial-boundary value problem
  • Multifluid
  • Polytropic flow
  • Uniqueness
  • Viscous compressible flow
  • EXISTENCE
  • SYSTEM
  • Secondary 76T99
  • MULTI-FLUIDS
  • SOLUBILITY
  • MIXTURES
  • Primary 76N10
  • MOTION

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