Publication Cover
Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 16
133
Views
0
CrossRef citations to date
0
Altmetric
Articles

Stationary solutions of a heated magnetic fluid model

&
Pages 2762-2777 | Received 07 Oct 2016, Accepted 08 Oct 2017, Published online: 28 Oct 2017

References

  • Pankhurst QQA, Connolly J, Jones SK, et al. Applications of magnetic nonoparticles in biomedicine. J Phys D Appl Phys. 2003;36:R167–R181.
  • Zahn M. Magnetic fluid and nonoparticle applications to nanotechnology. J Nanopart Res. 2001;3:73–78.
  • Rosensweig RE. Basic equations for magnetic fluids with internal rotations. In: Odenbache S, editor. Ferrofluids: magnetically controllable fluids and their applications. Lecture notes in physics. Vol. 594. Heidelberg: Springer-Verlag; 2002. p. 61–84.
  • Shliomis MI. Retrospective and issues. In: Odenbache S, editor. Ferrofluids: magnetically controllable fluids and their applications. Lecture notes in physics. Vol. 594. Heidelberg: Springer-Verlag; 2002. p. 85–111.
  • Finlayson BA. Convective instability of ferromagnetic fluids. J Fluid Mech. 1970;40:753–767.
  • Rosensweig RE. Ferrohydrodynamics. New York (NY): Dover Publications; 1997.
  • Amirat Y, Hamdache K. On a heated incompressible magnetic fluid model. Commun Pure Appl Anal. 2012;11(2):675–696.
  • Galdi GP. An introduction to the mathematical theory of the Navier--Stokes equations. I. Linearized steady problems, Springer tracts in natural philosophy. Vol. 38. New York (NY): Springer Verlag; 1994.
  • Galdi GP. An introduction to the mathematical theory of the Navier--Stokes equations. II. Nonlinear steady problems, Springer tracts in natural philosophy. Vol. 39. New York (NY): Springer Verlag; 1994.
  • Lions JL. Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris: Dunod-Gauthier-Villars; 1969.
  • Temam R. Navier-Stokes equations. 3rd ed. (revised). Amsterdam: Elsevier Science Publishers B.V.; 1984.
  • Kinderlehrer D, Stampacchia G. An introduction to variational inequalities and their applications. New York (NY): Academic Press; 1980.
  • Novotný A, Straškraba I. Introduction to the mathematical theory of compressible flow. Oxford: Oxford University Press; 2004.
  • Grisvard P. Elliptic problems in non smooth domains. Boston (MA): Pitman; 1985.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.