TY - JOUR
T1 - Semi-Galerkin approximation and strong solutions to the equations of the nonhomogeneous asymmetric fluids
AU - Boldrini, José L.
AU - Rojas-Medar, Marko A.
AU - Fernández-Cara, Enrique
PY - 2003/11
Y1 - 2003/11
N2 - This paper analyzes an initial/boundary value problem for a system of equations modelling the nonstationary flow of a nonhomogeneous incompressible asymmetric (polar) fluid. Under conditions similar to those usually imposed to the nonhomogeneous 3D Navier-Stokes equations, using a spectral semi-Galerkin method, we prove the existence of a local in time strong solution. We also prove the uniqueness of the strong solution and some global existence results. Several estimates for the solutions and their approximations are given. These can be used to find useful error bounds of the Galerkin approximations.
AB - This paper analyzes an initial/boundary value problem for a system of equations modelling the nonstationary flow of a nonhomogeneous incompressible asymmetric (polar) fluid. Under conditions similar to those usually imposed to the nonhomogeneous 3D Navier-Stokes equations, using a spectral semi-Galerkin method, we prove the existence of a local in time strong solution. We also prove the uniqueness of the strong solution and some global existence results. Several estimates for the solutions and their approximations are given. These can be used to find useful error bounds of the Galerkin approximations.
KW - Asymmetric fluids
KW - Semi-Galerkin approximation
KW - Strong solutions
UR - https://www.scopus.com/pages/publications/0242720346
U2 - 10.1016/j.matpur.2003.09.005
DO - 10.1016/j.matpur.2003.09.005
M3 - Article
AN - SCOPUS:0242720346
SN - 0021-7824
VL - 82
SP - 1499
EP - 1525
JO - Journal des Mathematiques Pures et Appliquees
JF - Journal des Mathematiques Pures et Appliquees
IS - 11
ER -