Further remarks on simple flows of fluids with pressure dependent viscosities
| Type of publication: | Article |
| Citation: | ncmm-2009-031 |
| Journal: | Nonlinear Analysis: Real World Applications |
| Volume: | 12 |
| Number: | 1 |
| Year: | 2011 |
| Month: | February |
| Pages: | 394-402 |
| Note: | NCMM Preprint no. 2009-031 |
| URL: | http://www.karlin.mff.cuni.cz/... |
| DOI: | 10.1016/j.nonrwa.2010.06.025 |
| Abstract: | 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. |
| Keywords: | |
| Authors | |
| Added by: | [JH] |
| Total mark: | 0 |
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