A Non-Stationary Model of the Incompressible Viscoelastic Kelvin-Voigt Fluid of Non-Zero Order in the Magnetic Field of the Earth

DOI10.14529/MMP190304zbMath1433.35284OpenAlexW2999464763MaRDI QIDQ5212520

A. O. Kondyukov, Tamara G. Sukacheva

Publication date: 29 January 2020

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyuru503

zbMATH Keywords

extended phase spaceCauchy-Dirichlet problemmagnetohydrodynamicsSobolev-type equationsincompressible viscoelastic fluidOskolkov equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Geo-electricity and geomagnetism (86A25) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (2)

The Avalos-Triggiani problem for the linear Oskolkov system and a system of wave equations ⋮ Oskolkov Models and Sobolev-Type Equations

Cites Work

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• On a model for dynamics of weak-compressible viscous-elastic liquid
• Linear Sobolev type equations and degenerate semigroups of operators
• Phase space of a model of magnetohydrodynamics
• Numerical Study of a Flow of Viscoelastic Fluid of Kelvin - Voigt Having Zero Order in a Magnetic Field
• Computational Experiment for a Class of Mathematical Models of Magnetohydrodynamics
• QUASISTATIONARY TRAJECTORIES OF SEMILINEAR DYNAMICAL EQUATIONS OF SOBOLEV TYPE
• GENERALIZED MODEL OF INCOMPRESSIBLE VISCOELASTIC FLUID IN THE EARTH'S MAGNETIC FIELD
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations

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