Global solutions of the Navier–Stokes equations for isentropic flow with large external potential force

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3 Citations (Scopus)

Abstract

We prove the global-in-time existence of weak solutions to the Navier–Stokes equations of compressible isentropic flow in three space dimensions with adiabatic exponent γ ≥ 1. Initial data and solutions are small in L 2 around a non-constant steady state with densities being positive and essentially bounded. No smallness assumption is imposed on the external forces when γ = 1. A great deal of information about partial regularity and large-time behavior is obtained. Copyright © 2012 Springer Basel AG.
Original languageEnglish
Pages (from-to)767-784
JournalZeitschrift für angewandte Mathematik und Physik
Volume64
Issue number3
Early online dateSep 2012
DOIs
Publication statusPublished - Jun 2013

Citation

Suen, A. (2013). Global solutions of the Navier–Stokes equations for isentropic flow with large external potential force. Zeitschrift für angewandte Mathematik und Physik, 64(3), 767-784. doi: 10.1007/s00033-012-0263-3

Keywords

  • Navier–Stokes equations
  • Compressible flow
  • Global weak solutions

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