Navier-Stokes equation with hereditary viscosity

DOI10.1007/s00033-003-1087-yzbMath1040.35056OpenAlexW2154410344MaRDI QIDQ1404180

Viorel Barbu, Sivaguru S. Sritharan

Publication date: 20 August 2003

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-003-1087-y

zbMATH Keywords

Navier-Stokes equationsstress tensorstrain tensorlocal existence and uniquenessvorticity field\(m\)-accretive semigroupsfossile turbulence

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items (21)

Global solutions to the non-local Navier-Stokes equations ⋮ Partial integrodifferential equations with critical nonlinearities ⋮ Existence and decay of solutions in full space to Navier-Stokes equations with delays ⋮ Abstract Volterra integrodifferential equations with applications to parabolic models with memory ⋮ Well posedness, large deviations and ergodicity of the stochastic 2D Oldroyd model of order one ⋮ Dynamics and robustness for the 2D Navier–Stokes equations with multi-delays in Lipschitz-like domains ⋮ Navier-Stokes equation with hereditary viscosity and initial data in Besov-Morrey spaces ⋮ Well-posedness and invariant measures for 2D stochastic Oldroyd model of order one with pure jumps ⋮ A phase separation model for binary fluids with hereditary viscosity ⋮ Pullback attractors of 2D Navier-Stokes-Voigt equations with delay on a non-smooth domain ⋮ Null controllability of nonlinear heat equation with memory effects ⋮ Asymptotic behavior of stochastic two-dimensional Navier-Stokes equations with delays ⋮ \(L^q\)-solvability for an equation of viscoelasticity in power type material ⋮ Global existence for a semi-linear Volterra parabolic equation and neutral system with infinite delay ⋮ Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains ⋮ Dynamics of a 3D Brinkman-Forchheimer equation with infinite delay ⋮ Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures ⋮ Stochastic Navier–Stokes equations perturbed by Lévy noise with hereditary viscosity ⋮ On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations ⋮ Local solvability of an inverse problem to the Navier–Stokes equation with memory term ⋮ A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions

This page was built for publication: Navier-Stokes equation with hereditary viscosity