A review of results and open problems on mathematical models of motion of viscoelastic media of Jeffreys' type - Mathematics > Analysis of PDEsReportar como inadecuado




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Abstract: The Jeffreys model also associated with the names of Lethersich and Oldroydis one of the crucial conceptions in the theory of viscoelastic fluids. Themodels of Jeffreys type describe behaviour of bitumens, blood, polymers andtheir solutions, dough, the earth-s crust, concrete, lubricants etc. Study ofBVPs corresponding to their statics and dynamics meets a lot of mathematicaldifficulties, which turn out to be much harder than the ones that are relatedto the celebrated Navier-Stokes system. In this work, we make an attempt toreview the recent results and main unsolved problems for equations of motionfor the mediums of Jeffreys- type.



Autor: Dmitry A. Vorotnikov, Victor G. Zvyagin

Fuente: https://arxiv.org/



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