The thermoconvection problem for the linearizied model of the incompressible viscoelastic fluid of the nonzero order

zbMATH Open1546.35165MaRDI QIDQ6554824

Tamara G. Sukacheva

Publication date: 13 June 2024

Published in: Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie (Search for Journal in Brave)

zbMATH Keywords

extended phase spaceSobolev-type equationincompressible viscoelastic fluidrelatively \(p\)-sectorial operator

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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Initial-boundary value problems for the equations of motion of Kelvin- Voigt fluids and Oldroyd fluids
• Cauchy problem for a class of semilinear equations of Sobolev type
• Nonlocal problems for one class of nonlinear operator equations that arise in the theory of Sobolev type equations
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Analytic semigroups with kernel and linear equations of Sobolev type
• Linear Sobolev type equations and degenerate semigroups of operators
• NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY
• QUASISTATIONARY TRAJECTORIES OF SEMILINEAR DYNAMICAL EQUATIONS OF SOBOLEV TYPE
• 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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