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.
@article{bwmeta1.element.doi-10_2478_s11533-013-0220-1,
author = {Tom\'a\v s B\'arta},
title = {Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1112-1128},
zbl = {1285.35076},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0220-1}
}
Tomáš Bárta. Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids. Open Mathematics, Tome 11 (2013) pp. 1112-1128. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0220-1/
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