Author:
Aberqi A., ,Elmassoudi M.,Hammoumi M., ,
Abstract
In this paper, a class of nonlinear evolution equations with damping arising in fluid dynamics and rheology is studied. The nonlinear term is monotone and possesses a convex potential but exhibits non-standard growth. The appropriate functional framework for such equations is the modularly Museilak–spaces. The existence and uniqueness of a weak solution are proved using an approximation approach by combining an internal approximation with the backward Euler scheme, also a priori error estimate for the temporal semi-discretization is given.
Publisher
Lviv Polytechnic National University
Subject
Computational Theory and Mathematics,Computational Mathematics
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