Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids

Tomáš Bárta

Open Mathematics (2013)

  • Volume: 11, Issue: 6, page 1112-1128
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Tomáš Bárta. "Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids." Open Mathematics 11.6 (2013): 1112-1128. <http://eudml.org/doc/269553>.

@article{TomášBárta2013,
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.},
author = {Tomáš Bárta},
journal = {Open Mathematics},
keywords = {Incompressible fluid; Viscosity depending on concentration; Unsteady flows; Nonlocal equation; incompressible fluid; viscosity depending on concentration; unsteady flows; nonlocal equation},
language = {eng},
number = {6},
pages = {1112-1128},
title = {Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids},
url = {http://eudml.org/doc/269553},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Tomáš Bárta
TI - Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids
JO - Open Mathematics
PY - 2013
VL - 11
IS - 6
SP - 1112
EP - 1128
AB - 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.
LA - eng
KW - Incompressible fluid; Viscosity depending on concentration; Unsteady flows; Nonlocal equation; incompressible fluid; viscosity depending on concentration; unsteady flows; nonlocal equation
UR - http://eudml.org/doc/269553
ER -

References

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