Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term

Abstract Consider a non-Newtonian fluid equation with a nonlinear convection term and a source term. The existence of the weak solution is proved by Simon’s compactness theorem. By the Hölder inequality, if both the diffusion coefficient and the convection term are degenerate on the boundary, then t...

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Bibliographic Details
Main Author: Huashui Zhan
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1938-x