An alpha-model of polymer solutions motion

DOI10.3103/S1066369X21050054zbMath1475.35298OpenAlexW3166532839MaRDI QIDQ2041611

Yanyan Li

Publication date: 23 July 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21050054

zbMATH Keywords

topological degreeviscoelastic fluidexistence theoremobjectivity principlealpha-model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Cites Work

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• On the Voitkunskii-Amfilokhiev-Pavlovskii model of motion of aqueous polymer solutions
• Compact sets in the space \(L^ p(0,T;B)\)
• Study of solvability of a thermoviscoelastic model describing the motion of weakly concentrated water solutions of polymers
• Existence and uniqueness of the flow of second-grade fluids with slip boundary conditions
• Topological approximation approach to study of mathematical problems of hydrodynamics
• Solvability for equations of motion of weak aqueous polymer solutions with objective derivative
• The Navier-Stokes Problem in the 21st Century
• Weak solvability and convergence of solutions for the fractional Voigt- model of a viscoelastic medium
• Investigation of the weak solubility of the fractional Voigt alpha-model
• Attractors for model of polymer solutions motion

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