Global regularity of a class of p-fluid flows in cylinders

Journal of Mathematical Analysis and Applications

Volumn 341, Issue 1, 2008, Pages 559-574

  Crispo, Francesca ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

Generalized Newtonian fluids; Global regularity; Shear thinning fluids

Indexed keywords

EID: 38749102046     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.10.034     Document Type: Article

References (19)

1. Adams R.A. Sobolev Spaces (1975), Academic Press, New York
2. Beirão da Veiga H. On the regularity of flows with Ladyzhenskaya shear dependent viscosity and slip or non-slip boundary conditions. Comm. Pure Appl. Math. 58 (2005) 552-577
3. H. Beirão da Veiga, Navier-Stokes equations with shear thickening viscosity. Regularity up to the boundary, J. Math. Fluid Mech., in press
4. H. Beirão da Veiga, Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary, J. Math. Fluid Mech., in press
5. H. Beirão da Veiga, On the Ladyzhenskaya-Smagorinsky turbulence model of the Navier-Stokes equations in smooth domains. The regularity problem, J. Eur. Math. Soc. (JEMS), in press
6. Beirão da Veiga H. Concerning the Ladyzhenskaya-Smagorinsky turbulence model of the Navier-Stokes equations. C. R. Math. Acad. Sci. Paris, Ser. I 345 (2007) 249-252
7. H. Beirão da Veiga, On the global regularity of shear-thinning flows in smooth domains, submitted for publication
8. 2, q-regularity of incompressible fluids with shear-dependent viscosities: The shear thinning case, J. Math. Fluid Mech., in press
9. F. Crispo, Shear thinning viscous fluids in cylindrical domains. Regularity up to the boundary, J. Math. Fluid Mech., in press
10. Diening L., and Růžička M. Strong solutions for generalized Newtonian fluids. J. Math. Fluid Mech. 7 (2005) 413-450
11. Fuchs M., and Seregin G. Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids. Lecture Notes in Mathematics vol. 1749 (2000), Springer-Verlag, Berlin
12. G.P. Galdi, Mathematical problems in classical and non-Newtonian fluid mechanics, in press
13. Málek J., Nečas J., Rokyta M., and Růžička M. Weak and Measure-Valued Solutions to Evolutionary PDEs. Applied Mathematics and Mathematical Computation vol. 13 (1996), Chapman and Hall, London
14. Málek J., Nečas J., and Růžička M. On the non-Newtonian incompressible fluids. Math. Models Methods Appl. Sci. 3 (1993) 35-63
15. Naumann J., and Wolf J. Interior differentiability of weak solutions to the equations of stationary motion of a class of non-Newtonian fluids. J. Math. Fluid Mech. 7 (2005) 298-313
16. Nečas J. Équations aux dérivées partielles (1965), Presses de l'Université de Montréal, Montréal
17. Nečas J., and Hlaváček I. Ḿathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction (1981), Elsevier Scientific Publishing Company, New York
18. Parés C. Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids. Appl. Anal. 43 3-4 (1992) 245-296
19. Rajagopal K.R. Mechanics of non-Newtonian fluids. In: Galdi G.P., and Nečas J. (Eds). Recent Developments in Theoretical Fluid Mechanics. Res. Notes Math. vol. 291 (1993), Longman 129-162