Scaling limit for compressible viscoelastic fluids

Xianpeng Hu, Fanghua Lin

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The convergence from a sequence of the unique global solutions to the Cauchy problems for compressible viscoelastic fluids to a unique global solution of the incompressible Navier-Stokes equations without external forces is studied for a wide class of initial data as the Mach number and the elastic coefficient go to zero simultaneously. The proofs are based on a set of conservation laws and a list of estimates which are uniform in the scaling parameter as well as a dispersive estimate for the wave equation.

Original languageEnglish (US)
Title of host publicationFrontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics
Subtitle of host publicationIn Memory of Gu Chaohao
PublisherWorld Scientific Publishing Co.
Pages243-269
Number of pages27
ISBN (Electronic)9789814578097
ISBN (Print)9789814578073
DOIs
StatePublished - Jan 1 2014

    Fingerprint

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

Cite this

Hu, X., & Lin, F. (2014). Scaling limit for compressible viscoelastic fluids. In Frontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics: In Memory of Gu Chaohao (pp. 243-269). World Scientific Publishing Co.. https://doi.org/10.1142/9789814578097_0016