Discrete solution for the nonlinear parabolic equations with diffusion terms in Museilak-spaces

Autor:	Ahmed Aberqi, M. Hammoumi, Mhamed Elmassoudi
Rok vydání:	2021
Předmět:	Nonlinear parabolic equations Computational Mathematics Computational Theory and Mathematics Mathematical analysis Diffusion (business) Mathematics
Zdroj:	Mathematical Modeling and Computing. 8:584-600
ISSN:	2415-3788 2312-9794
DOI:	10.23939/mmc2021.04.584
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::652eaf860cfe5b3f77733cd044dd52a5 https://doi.org/10.23939/mmc2021.04.584 Zobrazit plný text záznamu