Initial value problems for creeping flow of Maxwell fluids

DOI10.1016/j.na.2011.03.010zbMath1402.76018OpenAlexW2059134480MaRDI QIDQ540248

Toufik Laadj, Michael Renardy

Publication date: 1 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://scholar.lib.vt.edu/theses/available/etd-02242011-160446/

zbMATH Keywords

existence and uniquenessunsteady flownonlinear Maxwell fluidquasistatic viscoelastic flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Stability of steady flows for multi-mode Maxwell fluids ⋮ Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system ⋮ On flows of viscoelastic fluids of Oldroyd type with wall slip ⋮ The initial value problem for creeping flow of the upper convected Maxwell fluid at high Weissenberg number

Cites Work

• Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
• Fluid dynamics of viscoelastic liquids
• On the global and periodic regular flows of viscoelastic fluids with a differential constitutive law
• Existence results for the flow of viscoelastic fluids with a differential constitutive law
• Local Existence of Solutions of the Dirichlet Initial-Boundary Value Problem for Incompressible Hypoelastic Materials
• Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
• Existence of Slow Steady Flows of Viscoelastic Fluids with Differential Constitutive Equations
• Finite Element Methods for Navier-Stokes Equations
• A Multivariate Faa di Bruno Formula with Applications
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