Differential and Integral Equations
- Differential Integral Equations
- Volume 12, Number 5 (1999), 741-772.
Existence results for steady flow of weakly compressible viscoelastic fluids with a differential constitutive law
In this paper we study flows of viscoelastic weakly compressible fluids having a differential constitutive equation. In both cases, Jeffreys and Maxwell type constitutive equations, we establish a result of existence and uniqueness of solutions. We also show that, when the compressibility goes to zero, then the weakly compressible steady solution goes to the incompressible one.
Differential Integral Equations, Volume 12, Number 5 (1999), 741-772.
First available in Project Euclid: 29 April 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 76A10: Viscoelastic fluids
Secondary: 35Q35: PDEs in connection with fluid mechanics 74D99: None of the above, but in this section 76N10: Existence, uniqueness, and regularity theory [See also 35L60, 35L65, 35Q30]
Talhouk, Raafat. Existence results for steady flow of weakly compressible viscoelastic fluids with a differential constitutive law. Differential Integral Equations 12 (1999), no. 5, 741--772. https://projecteuclid.org/euclid.die/1367255392