Global existence for the compressible viscoelastic system with zero shear viscosity in three dimensions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1658-1685 |
| Journal / Publication | Journal of Differential Equations |
| Volume | 268 |
| Issue number | 4 |
| Online published | 18 Sep 2019 |
| Publication status | Published - 5 Feb 2020 |
Link(s)
Abstract
We study the three dimensional compressible viscoelastic system with zero shear viscosity. The weighted L2 energy, derived from the local energy decay of the linearized system, and Sobolev type inequalities are applied to control the nonlinear terms and hence the global existence with small perturbations is established.
Research Area(s)
- Viscoelastic, Zero shear viscosity, Global existence, Local energy decay
Citation Format(s)
Global existence for the compressible viscoelastic system with zero shear viscosity in three dimensions. / Hu, Xianpeng; Zhao, Wenbin.
In: Journal of Differential Equations, Vol. 268, No. 4, 05.02.2020, p. 1658-1685.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
