Descret Solution for a Nonlinear Parabolic Equations with Diffusion Terms in Museilak-Spaces

A. Aberqi; M. Elmassoudi; M. Hammoumi

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arXiv · 2105.10600

Descret Solution for a Nonlinear Parabolic Equations with Diffusion Terms in Museilak-Spaces

A. Aberqi·M. Elmassoudi·M. Hammoumi

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Abstract

In this paper, we study a class of nonlinear evolution equations with damping arising in fluid dynamics and rheology. The nonlinear term is monotone and possesses a convex potential but exhibits non-standard growth. The appropriate functional framework for such equations is the modular Museilak-Spaces. We prove the existence and uniqueness of a weak solution 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.

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A. Aberqi, M. Elmassoudi, M. Hammoumi. 2021-05-21. Descret Solution for a Nonlinear Parabolic Equations with Diffusion Terms in Museilak-Spaces. https://arxiv.org/abs/2105.10600

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