Blowup for irrotational C¹ solutions of the compressible Euler equations in Rᴺ

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9 Citations (Scopus)

Abstract

In this article, we study the finite life span of the irrotational C¹ non-vacuum solutions, for the compressible Euler equations in Rᴺ in fluid dynamics. We present the blowup results for the C¹ solutions, for which the initial functional H(0)= ∫Rᴺx·u₀dV, is sufficiently large. To partially complement the classical Sideris blowup results, F(0)= ∫R³x·ρ₀u₀dV, (Sideris, 1985), our blowup conditions do not depend on the density ρ₀ . Copyright © 2017 Elsevier Ltd.
Original languageEnglish
Pages (from-to)132-141
JournalNonlinear Analysis
Volume158
Early online dateMay 2017
DOIs
Publication statusPublished - Jul 2017

Citation

Yuen, M. (2017). Blowup for irrotational C¹ solutions of the compressible Euler equations in Rᴺ. Nonlinear Analysis, 158, 132-141.

Keywords

  • Compressible Euler equations
  • Blowup
  • Initial value problem
  • Irrotational solutions
  • Integration method
  • Non-vacuum

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