Explosive instabilities for a generalized second grade fluid

DOI10.1016/j.jmaa.2015.07.015zbMath1326.35261OpenAlexW884972075MaRDI QIDQ493818

Brian Straughan, Vincenzo Tibullo, Michele Ciarletta

Publication date: 4 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.07.015

zbMATH Keywords

global nonexistencefinite time blow upgeneralized second grade fluidshear thickening

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Viscoelastic fluids (76A10) Combustion (80A25) Hydrodynamic stability (76E99) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
• Second-gradient viscoelastic fluids: dissipation principle and free energies
• Uniqueness and stability results for non-linear Johnson-Segalman viscoelasticity and related models
• Stokes' first problem for a Rivlin-Ericksen fluid of second grade in a porous half-space
• On some generalizations of the second-grade fluid model
• Thermal convection in a simple fluid with fading memory
• Anomalous features in the model of second order fluids
• Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• Stability and nonexistence results in the generalized theory of a fluid of second grade
• On the thermodynamics of some generalized second-grade fluids
• Natural convection flow of a generalized second-grade fluid between two vertical walls
• A note on finite-scale Navier-Stokes theory: The case of constant viscosity, strictly adiabatic flow
• Flow of a generalized second grade non-Newtonian fluid with variable viscosity
• Mathematical models for the non-isothermal Johnson-Segalman viscoelasticity in porous media: stability and wave propagation
• Blow-up of solutions of an abstract Cauchy problem for a formally hyperbolic equation with double non-linearity
• Compact acoustic travelling waves in a class of fluids with nonlinear material dispersion
• Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade
• On the stability against shear waves of steady flows of non-linear viscoelastic fluids

This page was built for publication: Explosive instabilities for a generalized second grade fluid