In this paper, we study the regularity criterion of weak solutions of the three dimensional micropolar fluid flows. It is proved that if the pressure satisfies where P B 1 1,1 denotes the critical Besov space, then the weak solution .u, w/ becomes a regular solution on .0, T. This regularity criter
A regularizing effect of radiation in the equations of fluid dynamics
β Scribed by Bernard Ducomet; Eduard Feireisl
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 194 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.586
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β¦ Synopsis
We investigate the properties of a class of variational solutions to the equations of uid dynamics when radiation e ects are taken into account. The main aim is to prove weak sequential stability of the solution set under certain hypotheses imposed on the pressure, viscosity, and heat conductivity.
π SIMILAR VOLUMES
Here we consider a variant of the CauchyαRiemann equation, in which the CauchyαRiemann equation has been regularized with a nonlinear second-order wΕ½ < < 2 . x viscous term β q u u . The equation is degenerate of parabolic type when βs0 and has a weak solution for all time. We use an embedding proc