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math.AP2025
A variational view on constitutive laws in parabolic problems
Stefan Schiffer, Espen Xylander
We consider a variational approach to solve parabolic problems by minimising a functional over time and space. To achieve existence results we investigate the notion of $\mathscr{A…
math.AP2025
A variational approach to the Navier-Stokes equations with shear-dependent viscosity
Christina Lienstromberg, Stefan Schiffer, Richard Schubert
We present a variational approach for the construction of Leray-Hopf solutions to the non-Newtonian Navier-Stokes system. Inspired by the work [42] on the corresponding Newtonian p…