Theory of multipolar fluids. (English) Zbl 0815.76009

Jentsch, Lothar (ed.) et al., Problems and methods in mathematical physics. 10th Conference, 10th TMP, TU of Chemnitz-Zwickau in Chemnitz, Germany, September 13-17, 1993. Leipzig: Teubner. Teubner-Texte Math. 134, 111-119 (1994).
The author works in the framework of the theory of multipolar viscous fluids by J. Necas and M. Silhavy [Q. Appl. Math. 49, No. 2, 247-265 (1991; Zbl 0732.76003)]. The paper shows that the theory provides a proof of the existence of global (in time) solutions even in circumstances when such a proof is not possible for Stokes linear stress- strain relation. Weak solutions for tripolar compressible isothermal gases are considered, where a singular limit to dipolar gas is possible. The specification for dipolar isothermal gas or for dipolar incompressible non-Newtonian fluids is considered as well as the singular limit to monopolar fluids.
For the entire collection see [Zbl 0796.00021].
Reviewer: D.Jou (Bellaterra)


76A05 Non-Newtonian fluids


Zbl 0732.76003