On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion

DOI10.1137/19M1244895zbMath1432.76075arXiv1902.04853OpenAlexW3106000208MaRDI QIDQ5220419

Jan Blechta, Kumbakonam R. Rajagopal, Josef Málek

Publication date: 20 March 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04853

zbMATH Keywords

weak solutionboundary conditionsslipimplicit constitutive theorygeneralized viscosityactivation criterionactivated boundary conditionsactivated fluidsgeneralized fluiditylong-time and large-data existence theoryshear thinning/shear thickening fluidsstress power-law fluid

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Foundations of fluid mechanics (76A02)

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