The Navier–Stokes equations are important for science and engineering, since they describe the motion of fluids.  However, these equations can not describe the physical responses of fluids with a complex microstructure.

Michal Bathory, Miroslav Bulíček, and Josef Málek, Charles University, Czech Republic, have developed a robust mathematical theory for viscoelastic fluids. Which could serve as an analytical framework, to quantify errors between exact and computed solutions for these models.

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Read some of their latest work here: https://doi.org/10.1515/anona-2020-0144