4 research outputs found
Local and global strong solution by the semi-Galerkin method for the model of mass diffusion
In this work, we present some results for local and global in time
solutions (defined in the time interval (0, T) with T < +∞ or T =
+∞) for the model of mass diffusion by using the spectral semi-Galerkin
approximations. We establish results related to the global existence of
weak solutions, to the existence of strong solutions (local in time or global
in time for small enough data in 3D domains or general data in 2D case),
to the regularity of strong solutions and the effects of the exponential
decay of the external force in the asymptotic behavior when t → +∞ for
global solutions.Dirección General de InvestigaciónCGCI MECD-DGU Programa hispano-brasileño de cooperación interuniversitari