Further remarks on simple flows of fluids with pressure-dependent viscosities
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Recently Suslov and Tran (2008)  claimed to have found an error in one of the solutions given in the paper by Hron (2001) et al.  concerning the flows of fluids with pressure-dependent viscosities. We show that their arguments are related to the question of the continuity of the pressure, and we show that the original solution, although it is not a classical one, can be interpreted as a solution in a generalized sense. Mathematical and physical implications of such generalizations are briefly discussed. The discussion in the paper highlights the importance of recognizing what is meant by a "solution" to a partial differential equation, whether by a solution we mean a classical solution, a weak solution, or a solution in some other sense. © 2010 Published by Elsevier Ltd. All rights reserved.
author list (cited authors)
Hron, J., Málek, J., Průša, V., & Rajagopal, K. R.