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Strong solutions of doubly nonlinear Navier-Stokes equations

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  • In this article existence of weak and strong solutions to doubly nonlinear incompressible Navier-Stokes equations

    $(\partialb(u))/(\partialt)+$div$(b(u)\times u) = $-$d\pi +$div$\(a(\nabla^(sym)u)) + f,$     div$(u)=0,$
    is discussed, where $u$ models the velocity vector field of a homogeneous non-Newtonian fluid whose momentum $b(u)$ depends nonlinearly on $u$.
    Mathematics Subject Classification: Primary: 35K55, 35Q30; Secondary: 76D05.

    Citation:

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