Attractors for non-compact semigroups via energy equations
From MaRDI portal
Publication:4216790
DOI10.1088/0951-7715/11/5/012zbMath0914.35023OpenAlexW2067775262MaRDI QIDQ4216790
Ioana Moise, Ricardo M. S. Rosa, Xiaoming Wang
Publication date: 13 December 1998
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/cfbfa1fb70b618f40193593a93d1b39f551a772c
Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) KdV equations (Korteweg-de Vries equations) (35Q53) Navier-Stokes equations (35Q30)
Related Items
Grade-two fluids on non-smooth domain driven by multiplicative noise: existence, uniqueness and regularity ⋮ Upper semicontinuity of attractors for nonclassical diffusion equations in \(H^1(\mathbb{R}^3)\) ⋮ The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain ⋮ Random attractors for stochastic reaction-diffusion equations on unbounded domains ⋮ Attractors for damped quintic wave equations in bounded domains ⋮ Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations ⋮ Infinite-energy solutions for the Cahn-Hilliard equation in cylindrical domains ⋮ Robustness of exponential attractors for damped Korteweg-de Vries equations ⋮ Pullback attractor and invariant measures for the three-dimensional regularized MHD equations ⋮ \(\mathcal D\)-pullback attractor for a non-autonomous wave equation with additive noise on unbounded domains ⋮ Analyticity and gevrey-class regularity for the second-grade fluid equations ⋮ Well-posedness and attractors for a super-cubic weakly damped wave equation with \(H^{-1}\) source term ⋮ Sharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equations ⋮ The generalized Korteweg-de Vries-Burgers equation in \(H^2(\mathbb R)\) ⋮ Upper bounds for the attractor dimension of damped Navier-Stokes equations in \(\mathbb R^2\) ⋮ Attractors for semilinear wave equations with acoustic transmission conditions ⋮ Dynamics and robustness for the 2D Navier–Stokes equations with multi-delays in Lipschitz-like domains ⋮ Attractors for semilinear damped wave equations with an acoustic boundary condition ⋮ Asymptotic behavior of the generalized Korteweg-de Vries-Burgers equation ⋮ Attractors. Then and now ⋮ Random attractor for stochastic reaction-diffusion equation with multiplicative noise on unbounded domains ⋮ Anticipating stochastic equation of two-dimensional second grade fluids ⋮ Strong trajectory attractors for dissipative Euler equations ⋮ Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system ⋮ Semi discrete weakly damped nonlinear Klein-Gordon Schrödinger system ⋮ \((L^{2},L^{p})\)-random attractors for stochastic reaction-diffusion equation on unbounded domains ⋮ Random attractors for the stochastic FitzHugh-Nagumo system on unbounded domains ⋮ \(H^1\)-uniform attractor and asymptotic smoothing effect of solutions for a nonautonomous micropolar fluid flow in 2D unbounded domains ⋮ Random attractor of stochastic complex Ginzburg–Landau equation with multiplicative noise on unbounded domain ⋮ Random attractors for stochastic Ginzburg-Landau equation on unbounded domains ⋮ Random attractor for a stochastic damped wave equation with multiplicative noise on unbounded domains ⋮ The attractor for the two-dimensional weakly damped KdV equation in belt field ⋮ Existence and upper semicontinuity of random attractors for stochastic degenerate parabolic equations with multiplicative noises ⋮ Pullback attractors for generalized Korteweg-de Vries-Burgers equations ⋮ Uniform attractors for measure-driven quintic wave equations ⋮ Infinite energy solutions for dissipative Euler equations in \(\mathbb{R}^2\) ⋮ Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid ⋮ Vanishing viscosity limit for global attractors for the damped Navier-Stokes system with stress free boundary conditions ⋮ Hyperbolic relaxation of the 2D Navier-Stokes equations in a bounded domain ⋮ Strong trajectory and global \(\mathbf{W^{1,p}}\)-attractors for the damped-driven Euler system in \(\mathbb R^2\) ⋮ Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect ⋮ Asymptotic smoothing effect of solutions to Davey-Stewartson systems on the whole plane ⋮ Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise ⋮ Strong trajectory attractor for a dissipative reaction-diffusion system ⋮ A modified Poincaré method for the persistence of periodic orbits and applications ⋮ Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence. ⋮ The attractors for the nonhomogeneous nonautonomous Navier--Stokes equations ⋮ Pullback attractor for the 2D micropolar fluid flows with delay on unbounded domains ⋮ On smooth approximation for random attractor of stochastic partial differential equations with multiplicative noise ⋮ Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains ⋮ Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$ ⋮ RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES ⋮ ASYMPTOTIC COMPACTNESS OF STOCHASTIC COMPLEX GINZBURG–LANDAU EQUATION ON AN UNBOUNDED DOMAIN ⋮ Asymptotic behavior of the Newton-Boussinesq equation in a two-dimensional channel ⋮ Approximate controllability of second-grade fluids ⋮ Asymptotic dynamics of plate equations with a critical exponent on unbounded domain ⋮ Non-existence of the global attractor for a partly dissipative reaction-diffusion system with hysteresis ⋮ Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains ⋮ On the 2D Cahn–Hilliard Equation with Inertial Term ⋮ Global attractors for a generalized 2D parabolic system in an unbounded domain ⋮ Global attractor for weakly damped nonlinear Schrödinger equations in \(L^2(\mathbb R)\) ⋮ Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms ⋮ Global attractor for a nonlinear Schrödinger equation with a nonlinearity concentrated in one point ⋮ Global attractors for the 3D viscous Cahn–Hillard equations in an unbounded domain ⋮ Random dynamics of two-dimensional stochastic second grade fluids ⋮ Generalized Korteweg-de Vries equation in \(H^1(\mathbb R)\) ⋮ Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations ⋮ UPPER SEMICONTINUITY OF GLOBAL ATTRACTORS FOR 2D NAVIER–STOKES EQUATIONS ⋮ Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations ⋮ Dynamics of a 3D Benjamin–Bona–Mahony equations with sublinear operator ⋮ Global attractors and determining modes for the 3D Navier-Stokes-Voight equations ⋮ GLOBAL WELL-POSEDNESS FOR THE KDV EQUATIONS ON THE REAL LINE WITH LOW REGULARITY FORCING TERMS ⋮ Infinite energy solutions for weakly damped quintic wave equations in ℝ³ ⋮ Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on \(\mathbb R^3\) ⋮ Global existence of the 3D rotating second grade fluid system ⋮ Long-time behavior of 2D micropolar fluid flows ⋮ Global attractor for weakly damped, forced mKdV equation in low regularity spaces ⋮ Pullback asymptotic behavior of solutions for a non-autonomous non-Newtonian fluid on two-dimensional unbounded domains ⋮ Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line. ⋮ Strong uniform attractors for non-autonomous dissipative PDEs with non translation-compact external forces
