Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force

DOI10.1023/A:1021937715194zbMath0931.35124OpenAlexW152863877MaRDI QIDQ1300118

Franco Flandoli, Björn Schmalfuss

Publication date: 23 February 2000

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021937715194

zbMATH Keywords

attractorsmooth boundarybody forceviscous incompressible Newtonian fluidmeasurable multifunctionsgeneralized weak solutions

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (31)

On dimension and metric properties of trajectory attractors ⋮ Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains ⋮ STATIONARY WEAK SOLUTIONS FOR STOCHASTIC 3D NAVIER–STOKES EQUATIONS WITH LÉVY NOISE ⋮ Measure valued solutions to the stochastic Euler equations in \(\mathbb R^d\) ⋮ Pullback attractors of 2D Navier-Stokes equations with weak damping and continuous delay ⋮ Verification theorems for stochastic optimal control problems in Hilbert spaces by means of a generalized Dynkin formula ⋮ Weak and strong attractors for the 3D Navier-Stokes system ⋮ Pullback attractors of 2D Navier-Stokes equations with weak damping, distributed delay, and continuous delay ⋮ On global attractors of the 3D Navier--Stokes equations ⋮ FINITE DIMENSIONALITY OF ATTRACTORS FOR NON-AUTONOMOUS DYNAMICAL SYSTEMS GIVEN BY PARTIAL DIFFERENTIAL EQUATIONS ⋮ Trajectory attractors for binary fluid mixtures in 3D ⋮ Navier-Stokes equations with Navier boundary conditions for an oceanic model ⋮ Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system ⋮ The uniform asymptotic behavior of solutions for 2D g-Navier-Stokes equations with nonlinear dampness and its dimensions ⋮ Three-dimensional stochastic Navier–Stokes equations with Markov switching ⋮ Asymptotic behavior of the non-autonomous 3D Navier-Stokes problem with coercive force ⋮ Uniform attractors for three-dimensional Navier-Stokes equations with nonlinear damping ⋮ Irreducibility of the three, and two and a half dimensional Hall-magnetohydrodynamics system ⋮ ATTRACTORS AND NEO-ATTRACTORS FOR 3D STOCHASTIC NAVIER–STOKES EQUATIONS ⋮ Dynamics of weak solutions for the three dimensional Navier-Stokes equations with nonlinear damping ⋮ Existence of martingale and stationary suitable weak solutions for a stochastic Navier–Stokes system ⋮ Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping ⋮ RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES ⋮ COMPARISON BETWEEN TRAJECTORY AND GLOBAL ATTRACTORS FOR EVOLUTION SYSTEMS WITHOUT UNIQUENESS OF SOLUTIONS ⋮ The dimension of attractors of nonautonomous partial differential equations ⋮ On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems ⋮ Upper semicontinuous property of uniform attractors for the 2D nonautonomous Navier-Stokes equations with damping ⋮ REPRESENTATION OF PATHWISE STATIONARY SOLUTIONS OF STOCHASTIC BURGERS' EQUATIONS ⋮ Attractors for the Stochastic 3D Navier–Stokes Equations ⋮ Time-discretization of stochastic 2-D Navier-Stokes equations with a penalty-projection method ⋮ Pullback attractors for generalized evolutionary systems

This page was built for publication: Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force