Publication Date:
2016-12-03
Description:
We prove the local regularity of a weak solution \({\varvec{u}}\) to the equations of a generalized Newtonian fluid with power law \(1〈 q \le 2\) if \({\varvec{u}}\) belongs to a suitable Lebesgue space. This result extends the well-known Serrin condition for weak solutions of the Navier–Stokes equations to the shear-thinning fluids.
Print ISSN:
0044-2275
Electronic ISSN:
1420-9039
Topics:
Mathematics
,
Physics