Abstract
In Sect. 3.3 we have already seen that the Navier-Stokes equations describing the flow of an incompressible, linear viscous fluid present a challenge to whether solutions exist globally or not. In order to have a non-linear fluid theory for which questions of existence, regularity, and formation of turbulence can be better understood from a mathematical point of view Ladyzhenskaya (1967,1968,1969) suggested several alternative models and supported these with positive analysis answering many questions which were not able to be solved using Navier-Stokes theory.
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© 1998 Springer-Verlag Berlin Heidelberg
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Straughan, B. (1998). Catastrophic Behaviour in Other Non-linear Fluid Theories. In: Explosive Instabilities in Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58807-5_4
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DOI: https://doi.org/10.1007/978-3-642-58807-5_4
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