The existence theorem for a weak solution to initial-boundary value problem for system of equations describing the motion of weak aqueous polymer solutions

DOI10.3103/S1066369X19080061zbMath1433.35300OpenAlexW2972830369MaRDI QIDQ2287002

A. S. Ustiuzhaninova, Mikhail V. Turbin

Publication date: 23 January 2020

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

Full work available at URL: https://doi.org/10.3103/s1066369x19080061

zbMATH Keywords

weak solutioninitial-boundary value problema priori estimateoperator equationLeray-Schauder degree theoryapproximation-topological approachmodel of aqueous solutions of polymers

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Suspensions (76T20) Weak solutions to PDEs (35D30)

Related Items (10)

Trajectory and global attractors for a modified Kelvin–Voigt model ⋮ Feedback control problem for modified Kelvin-Voigt model ⋮ Optimal feedback control problem for inhomogeneous Voigt fluid motion model ⋮ Weak solvability of the nonlinearly viscous Pavlovskii model ⋮ Weak solvability of the initial-boundary value problem for inhomogeneous incompressible Kelvin-Voigt fluid motion model of arbitrary finite order ⋮ Existence of weak solution to initial-boundary value problem for finite order Kelvin-Voigt fluid motion model ⋮ Uniform attractors for the modified Kelvin-Voigt model ⋮ Pullback-attractors for the modified Kelvin-Voigt model ⋮ Pullback attractors for weak solution to modified Kelvin-Voigt model ⋮ Convergence of attractors for an approximation to attractors of a modified Kelvin-Voigt model

Cites Work

• Solvability of a stationary model of motion of weak aqueous polymer solutions
• Compact sets in the space \(L^ p(0,T;B)\)
• On solvability of a fluid flow alpha-model with memory
• Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics
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