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In this paper, we prove a Liouville type theorem for non-Newtonian fluid equations in $$\mathbb R^3$$ R 3 , having the diffusion term $${\varvec{A}}_p( u)=\nabla \cdot ( |{\varvec{D}}(u)|^{p-2} {\varvec{D}}(u))$$ A… Click to show full abstract
In this paper, we prove a Liouville type theorem for non-Newtonian fluid equations in $$\mathbb R^3$$ R 3 , having the diffusion term $${\varvec{A}}_p( u)=\nabla \cdot ( |{\varvec{D}}(u)|^{p-2} {\varvec{D}}(u))$$ A p ( u ) = ∇ · ( | D ( u ) | p - 2 D ( u ) ) with $$ {\varvec{D}}(u) = \frac{1}{2} (\nabla u + (\nabla u)^{ \top })$$ D ( u ) = 1 2 ( ∇ u + ( ∇ u ) ⊤ ) , $$3/2
Keywords:
varvec;
newtonian fluid;
type theorem;
liouville type;
non newtonian
Journal Title: Journal of Nonlinear Science
Year Published: 2020
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Journal Title: Journal of Nonlinear Science
Year Published: 2020
Link to full text (if available)
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recommendations!