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Besov regularity theory for stationary electrorheological fluids.
- Source :
-
Journal of Differential Equations . Jan2023, Vol. 343, p790-815. 26p. - Publication Year :
- 2023
-
Abstract
- The aim of this paper is to obtain the higher order fractional differentiability of weak solution pairs for the following system modeling the stationary motion of electro-rheological fluids { − div ((1 + | D u | 2) p (x) − 2 2 D u) + [ ∇ u ] u + ∇ π = − div F in Ω div u = 0 in Ω in Besov space, where F is Besov regular and the non-standard growth exponent p (x) is Besov-Orlicz regular. The main approach to prove this result is to establish a Besov regular priori estimate of weak solution pairs for its Stokes setting without convective term [ ∇ u ] u , and then treat the convective term as a part of nonhomogeneous term in the general systems. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ELECTRORHEOLOGICAL fluids
*BESOV spaces
*ELECTRORHEOLOGY
*EXPONENTS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 343
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 160364506
- Full Text :
- https://doi.org/10.1016/j.jde.2022.10.039