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Negative Orlicz–Sobolev norms and strongly nonlinear systems in fluid mechanics.
- Source :
-
Journal of Differential Equations . Jul2015, Vol. 259 Issue 1, p48-83. 36p. - Publication Year :
- 2015
-
Abstract
- We prove a version of the negative norm theorem in Orlicz–Sobolev spaces. A study of boundedness properties of the Bogovskiĭ operator between Orlicz spaces is a crucial step, of independent interest, in our approach. Applications to the problem of pressure reconstruction for non-Newtonian fluids governed by constitutive laws, which are not necessarily of power type, are presented. A key inequality for a numerical analysis of the underlying elliptic system is also derived. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 259
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 102114098
- Full Text :
- https://doi.org/10.1016/j.jde.2015.01.041