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- W4308231837 abstract "Abstract An electrorheological fluid equation with a convection term is considered. Based on the existence of weak solutions, the definition of quasi-strong solution is given and its existence is studied. Different from the other related works, it is permissable that there is a point $(x_0,t_0)in Omegatimes [0,T)$ such that $a(x_0,t_0)=0$. In consideration of the uniqueness of solution, it is even permissable that the set ${xin Omega: a(x,t)=0}$ has an interior point, the equation may have hyperbolic characteristic, entropy condition should be quoted. Moreover, the boundary value condition is imposed on a submanifold $Sigma_1subsetOmegatimes (0,T)$, and the submanifold $Sigma_1$ can not be expressed as a cylinder such as $Gammatimes (0,T)$, where $GammasubsetpartialOmega$. Based on this partial boundary value condition, the stability of quasi-strong solutions is established, the uniqueness of entropy solution is proved" @default.
- W4308231837 created "2022-11-09" @default.
- W4308231837 creator A5019584487 @default.
- W4308231837 date "2022-11-03" @default.
- W4308231837 modified "2023-10-17" @default.
- W4308231837 title "The quasi-strong solutions of a degenerate electrorheological fluid equation" @default.
- W4308231837 doi "https://doi.org/10.21203/rs.3.rs-2233032/v1" @default.
- W4308231837 hasPublicationYear "2022" @default.
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