In this paper a uniqueness theorem for classical solutions is proved in the case of the evolution of a nanofluid filling a bounded domain under the Boussinesq approximation. The mass density of the nanofluid depends on the temperature and on the nanoparticle volume fraction. A decay in time of a suitable energy is achieved assuming that the material parameters satisfy some conditions. These results are then generalized in the presence of a magnetic field.
Borrelli, A., Giantesio, G., Patria, M. C., Uniqueness and decay results for a Boussinesquian nanofluid, <<INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS>>, 2019; 32 (4): 563-578. [doi:10.12732/ijam.v32i4.2] [http://hdl.handle.net/10807/153709]
Uniqueness and decay results for a Boussinesquian nanofluid
Giantesio, Giulia
;
2019
Abstract
In this paper a uniqueness theorem for classical solutions is proved in the case of the evolution of a nanofluid filling a bounded domain under the Boussinesq approximation. The mass density of the nanofluid depends on the temperature and on the nanoparticle volume fraction. A decay in time of a suitable energy is achieved assuming that the material parameters satisfy some conditions. These results are then generalized in the presence of a magnetic field.
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