On the solvability of a nonstationary problem describing the dynamics of an incompressible viscoelastic fluid

DOI10.1007/BF02317787zbMath0915.76009MaRDI QIDQ1280693

Tamara G. Sukacheva, Georgiĭ Anatol'evich Sviridyuk

Publication date: 22 June 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

configuration spaceCauchy-Dirichlet problemKelvin-Voigt fluidlocal solvability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Related Items (9)

The Avalos-Triggiani problem for the linear Oskolkov system and a system of wave equations ⋮ Strong solutions of quasilinear equations in Banach spaces not solvable with respect to the highest-order derivative ⋮ A modular Voigt regularization of the Crank-Nicolson finite element method for the Navier-Stokes equations ⋮ Oskolkov Models and Sobolev-Type Equations ⋮ Flows of a polymer fluid in domain with impermeable boundaries ⋮ An Analysis of the Avalos-Triggiani Problem for the Linear Oskolkov System of Non-Zero Order and a System of Wave Equations ⋮ Effect of temperature upon double diffusive instability in Navier-Stokes-Voigt models with Kazhikhov-Smagulov and Korteweg terms ⋮ Taylor problem for the zero-order model of an incompressible viscoelastic fluid ⋮ Quasilinear equations that are not solved for the higher-order time derivative

Cites Work

• 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 \(Pu_t=-Au+ {\mathfrak F} (u)\)
• NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY
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