A novel 3D model for non‐Newtonian fluid flows in a pipe network

DOI10.1002/mma.6989zbMath1475.35256OpenAlexW3097082276MaRDI QIDQ5004145

Evgenii S. Baranovskii

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6989

zbMATH Keywords

weak solutionsnon-Newtonian fluidspipelinesexistence theorempressure boundary conditionsshear-dependent viscositypartial differential equations on networks

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (3)

Feedback optimal control problem for a network model of viscous fluid flows ⋮ Regularity criterion for 3D shear-thinning fluids via one component of velocity ⋮ Initial-boundary value problem for flows of a fluid with memory in a 3D network-like domain

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