Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids |
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Authors: | Tomáš Bárta |
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Affiliation: | 1220. Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, Praha 8, 18000, Czech Republic
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Abstract: | We show global existence for a class of models of fluids that change their properties depending on the concentration of a chemical. We allow that the stress tensor in (t, x) depends on the velocity and concentration at other points and times. The example we have in mind foremost are materials with memory. |
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