Stability of the rest state of a viscous incompressible fluid

DOI10.1007/BF00375643zbMath0820.76033MaRDI QIDQ1337966

Herbert Amann

Publication date: 10 September 1995

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

existenceReiner-Rivlin fluidbody forcesexponential decay estimatesinitial velocity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Incompressible viscous fluids (76D99)

Related Items

Caccioppoli type inequality for non-Newtonian Stokes system and a local energy inequality of non-Newtonian Navier-Stokes equations without pressure ⋮ Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space ⋮ Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids ⋮ Well-posedness for a class of compressible non-Newtonian fluids equations ⋮ \(L_p\)-theory for a generalized nonlinear viscoelastic fluid model of differential type in various domains ⋮ A note on the regularity of flows with shear-dependent viscosity ⋮ Analysis of Viscous Fluid Flows: An Approach by Evolution Equations ⋮ Regularity of non-Newtonian fluids ⋮ On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions ⋮ On the existence of unique global-in-time solutions and temporal decay rates of solutions to some non-Newtonian incompressible fluids ⋮ On the singular times of fluids with nonlinear viscosity ⋮ Existence of regular solutions for a certain type of non-Newtonian fluids ⋮ Stability and bifurcation in viscous incompressible fluids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of a Ladyzhenskaya model for incompressible viscous flow
• Invariant and complete stress functions for general continua
• Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
• A unified approach to abstract linear nonautonomous parabolic equations
• On the initial value problem for the Navier-Stokes equations in \(L^ p\) spaces
• Equations d'évolution abstraites non linéaires de type parabolique
• Estimates for solutions of nonstationary Navier-Stokes equations
• Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids
• Reaction-diffusion problems in electrolysis
• The initial value problem for the Navier-Stokes equations
• Nonlinear analytic semiflows
• Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
• An L^q‐theory for weak solutions of the stokes system in exterior domains
• Équations différentielles abstraites

This page was built for publication: Stability of the rest state of a viscous incompressible fluid