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

DOI10.2478/s11533-013-0220-1zbMath1285.35076OpenAlexW2088730257MaRDI QIDQ352714

Tomáš Bárta

Publication date: 5 July 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0220-1

zbMATH Keywords

incompressible fluidunsteady flowsnonlocal equationviscosity depending on concentration

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction effects in flows (76V05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Volterra integral equations (45D05) Initial value problems for second-order parabolic systems (35K45)

Cites Work

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• Compact sets in the space \(L^ p(0,T;B)\)
• On weak solutions of a regularized model of a viscoelastic fluid
• Applications of viscoelastic clock models in biomechanics
• Mathematical Analysis of Unsteady Flows of Fluids with Pressure, Shear-Rate, and Temperature Dependent Material Moduli that Slip at Solid Boundaries
• Evolutionary Integral Equations and Applications

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