Scaling limit for compressible viscoelastic fluids

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)peer-review

2 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Title of host publicationFrontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics: In Memory of Gu Chaohao
PublisherWorld Scientific Publishing Co.
Pages243-269
ISBN (Print)9789814578097, 9789814578073
Publication statusPublished - 1 Jan 2014
Externally publishedYes

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.

Citation Format(s)

Scaling limit for compressible viscoelastic fluids. / Hu, Xianpeng; Lin, Fanghua.

Frontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics: In Memory of Gu Chaohao. World Scientific Publishing Co., 2014. p. 243-269.

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)12_Chapter in an edited book (Author)peer-review