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

• Autorzy: Tomáš Bárta
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Incompressible fluid; Viscosity depending on concentration; Unsteady flows; Nonlocal equation

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 35Q35: PDEs in connection with fluid mechanics
• 35K45: Initial value problems for second-order parabolic systems
• 45D05: Volterra integral equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 6
• Strony: 1112-1128

Daty

wydano

2013-06-01

online

2013-03-28

Twórcy

autor

Tomáš Bárta

• Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, Praha 8, 18000, Czech Republic

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0220-1