On a degenerate parabolic equation with Newtonian fluid∼non-Newtonian fluid mixed type

Abstract We study the existence of weak solutions to a Newtonian fluid∼non-Newtonian fluid mixed-type equation u t = div ( b ( x , t ) | ∇ A ( u ) | p ( x ) − 2 ∇ A ( u ) + α ( x , t ) ∇ A ( u ) ) + f ( u , x , t ) . $$ {u_{t}}= \operatorname{div} \bigl(b(x,t){ \bigl\vert {\nabla A(u)} \bigr\vert ^{...

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Bibliographic Details
Main Author: Sujun Weng
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-021-02550-w