An existence theorem for weak solutions of the initial-boundary value problem for the inhomogeneous incompressible Kelvin-Voigt model in which the initial value of density is not bounded from below
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Publication:6084920
DOI10.1134/s0001434623090316zbMath1528.35140MaRDI QIDQ6084920
Viktor G. Zvyagin, Mikhail V. Turbin
Publication date: 7 November 2023
Published in: Mathematical Notes (Search for Journal in Brave)
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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- Solvability of the thermoviscoelasticity problem for linearly elastically retarded Voigt fluid
- Ordinary differential equations, transport theory and Sobolev spaces
- Compact sets in the space \(L^ p(0,T;B)\)
- Initial-boundary value problems for the equations of motion of Kelvin- Voigt fluids and Oldroyd fluids
- Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis
- Pullback attractors for weak solution to modified Kelvin-Voigt model
- Feedback control problem for modified Kelvin-Voigt model
- The optimal feedback control problem for Voigt model with variable density
- Topological approximation approach to study of mathematical problems of hydrodynamics
- Solvability of a thermoviscoelastic model of the motion of solutions of polymers satisfying the objectivity principle
- The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids
- Optimal feedback control problem for inhomogeneous Voigt fluid motion model
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- The classical Kelvin–Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity
- Solvability of the initial-boundary value problem for the Kelvin-Voigt fluid motion model with variable density
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