TY  - JOUR
ID  - ncmm-2009-031
T1  - Further remarks on simple flows of fluids with pressure dependent viscosities
A1  - Hron, Jaroslav
A1  - Málek, Josef
A1  - Průša, Vít
A1  - Rajagopal, K. R.
JA  - Nonlinear Analysis: Real World Applications
Y1  - 2011
VL  - 12
IS  - 1
SP  - 394
EP  - 402
N1  - NCMM Preprint no. 2009-031
UR  - http://www.karlin.mff.cuni.cz/ncmm/preprints/09218170739pdvr-elsarticle-2009-08-06-small.pdf
M2  - doi: 10.1016/j.nonrwa.2010.06.025
N2  - Recently Suslov and Tran (2008) [1] claimed to have found an error in one of the solutions given in the paper by Hron (2001) et al. [2] 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.
ER  -