Global existence for a 2D incompressible viscoelastic model with small strain

Zhen Lei, Chun Liu, Yi Zhou

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

In this paper, we continue our previous study towards understanding the two-dimensional hydrodynamic systems describing Oldroyd type incompressible viscoelastic fluids. We will decompose the deformation tensor into the strain and rotation components and look at their distinct contributions and structures in the small strain (with respect to viscosity) dynamics. In particular, we prove that there exist classical solutions globally in time if the strain component of the initial deformation is small enough, while we require no assumptions on smallness of the magnitude of the rotation component.

Original languageEnglish (US)
Pages (from-to)595-616
Number of pages22
JournalCommunications in Mathematical Sciences
Volume5
Issue number3
DOIs
StatePublished - Jan 1 2007

Fingerprint

Viscoelastic Model
Global Existence
Viscoelastic Fluid
Classical Solution
Incompressible Fluid
Tensors
Hydrodynamics
Viscosity
Continue
Tensor
Distinct
Decompose
Fluids

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Global existence for a 2D incompressible viscoelastic model with small strain. / Lei, Zhen; Liu, Chun; Zhou, Yi.

In: Communications in Mathematical Sciences, Vol. 5, No. 3, 01.01.2007, p. 595-616.

Research output: Contribution to journalArticle

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