Uniqueness and stability results for non-linear Johnson-Segalman viscoelasticity and related models

DOI10.3934/dcdsb.2014.19.2111zbMath1302.76009OpenAlexW2324596441MaRDI QIDQ478696

Franca Franchi, Barbara Lazzari, Roberta Nibbi

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.2111

zbMATH Keywords

stabilitycontinuous dependenceJohnson-Segalman viscolestic fluidsMaxwell viscoelastic fluidsrelaxation/retardation effects

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Viscoelastic fluids (76A10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (7)

Instability thresholds for thermal convection in a Kelvin-Voigt fluid of variable order ⋮ The J-S model versus a non-ideal MHD theory ⋮ Explosive instabilities for a generalized second grade fluid ⋮ Thermosolutal convection with a Navier-Stokes-Voigt fluid ⋮ Competitive double diffusive convection in a Kelvin-Voigt fluid of order one ⋮ Mathematical models for the non-isothermal Johnson-Segalman viscoelasticity in porous media: stability and wave propagation ⋮ Singular kernel problems in materials with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Well-posedness of surface wave equations above a viscoelastic fluid
• Propagation of acceleration waves in the viscoelastic Johnson-Segalman fluids
• A unified hyperbolic model for viscoelastic liquids
• Frame indifferent formulation of Maxwell's elastic-fluid model and the rational continuum mechanics of the electromagnetic field
• Heat waves.
• Hyperbolicity and change of type in the flow of viscoelastic fluids
• A model for viscoelastic fluid behavior which allows non-affine deformation
• The energy method, stability, and nonlinear convection.
• On the behaviour of one-dimensional waves in thermo-viscoelastic fluids
• Similarity solutions for jet breakup for various models of viscoelastic fluids.
• Evolution equations for non-simple viscoelastic solids
• Nonlinear waves in incompressible viscoelastic Maxwell medium
• Peristaltic transport of a Johnson-Segalman fluid in an asymmetric channel
• New entropy estimates for the Oldroyd-B model and related models
• On control of shear flow of an upper convected Maxwell fluid
• Anisotropic Fluid Theory: A Different Approach to the Dumbbell Theory of Dilute Polymer Solutions
• Convergence of the Equations for a Maxwell Fluid

This page was built for publication: Uniqueness and stability results for non-linear Johnson-Segalman viscoelasticity and related models