RT Journal Article
T1 On a nonlinear parabolic problem arising in some models related to turbulent flows
A1 Díaz Díaz, Jesús Ildefonso
A1 De Thelin, Francois
AB This paper studies the Cauchy-Dirichlet problem associated with the equation b(u)t - div (\del u - K (b(u)) e\p-2 (del u - K (b(u))e)) + g (x, u) = f (t, x). This problem arises in the study of some turbulent regimes: flows of incompressible turbulent fluids through porous media and gases flowing in pipes of uniform cross sectional areas. The paper focuses on the class of bounded weak solutions, and shows (under suitable assumptions) their stabilization, as t --> infinity, to the set of bounded weak solutions of the associated stationary problem. The existence and comparison properties (implying uniqueness) of such solutions are also investigated.
PB Society for Industrial and Applied Mathematics
SN 0036-1410
YR 1994
FD 1994
LK https://hdl.handle.net/20.500.14352/57454
UL https://hdl.handle.net/20.500.14352/57454
LA fra
DS Docta Complutense
RD 27 abr 2025