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Global well-posedness and decay rates for the three dimensional compressible Oldroyd-B model.
- Source :
-
Journal of Differential Equations . Aug2018, Vol. 265 Issue 4, p1259-1278. 20p. - Publication Year :
- 2018
-
Abstract
- In this paper, we are concerned with the global well-posedness and decay rates of strong solutions for the three-dimensional compressible Oldroyd-B model. We prove that this set of equations admits a unique global strong solution provided the initial data are close to the constant equilibrium state in H 2 -framework. Moreover, if the initial data belong to L 1 , the convergence rate of the solutions in L p -norm with 2 ⩽ p ⩽ 6 and convergence rates of their spatial derivatives in L 2 -norm are obtained. It is noteworthy that the smallness restriction on the coupling constant ω is not necessary in this paper. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 265
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 129448369
- Full Text :
- https://doi.org/10.1016/j.jde.2018.04.003