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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 Hron, Jaroslav
Málek, Josef
Průša, Vít
Rajagopal, K. R.
Added by: [JH]
Total mark: 0
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