Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications
From MaRDI portal
Publication:1986514
DOI10.1016/j.jde.2019.12.011zbMath1436.35050OpenAlexW3000638588WikidataQ126399579 ScholiaQ126399579MaRDI QIDQ1986514
Yanjiao Li, Caidi Zhao, Tomás Caraballo Garrido
Publication date: 8 April 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/handle//11441/100805
Attractors (35B41) Dynamical systems approach to turbulence (76F20) Stability of manifolds of solutions to ordinary differential equations (34D35)
Related Items (38)
Dynamics for 2D incompressible Navier–Stokes flow coupled with time-dependent Darcy flow ⋮ Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid ⋮ Invariant measures and statistical solutions for a nonautonomous nonlocal Swift–Hohenberg equation ⋮ Trajectory statistical solutions for the Cahn-Hilliard-Navier-Stokes system with moving contact lines ⋮ Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations ⋮ Statistical solution and Liouville type theorem for coupled Schrödinger-Boussinesq equations on infinite lattices ⋮ Statistical solution and Liouville-type theorem for the nonautonomous discrete Selkov model ⋮ Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations ⋮ Statistical solutions and Kolmogorov entropy for the lattice long-wave-short-wave resonance equations in weighted space ⋮ Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids ⋮ Random attractors and invariant measures for 3D stochastic globally modified Navier-Stokes equations with time-dependent delay and coefficient ⋮ Statistical solutions and Liouville theorem for the second order lattice systems with varying coefficients ⋮ Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise ⋮ Existence, degenerate regularity and limit behavior of trajectory statistical solution for the 3D incompressible micropolar fluids flows with damping term ⋮ Invariant measures for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay ⋮ Existence and degenerate regularity of statistical solution for the 2D non-autonomous tropical climate model ⋮ Statistical solutions and degenerate regularity for the micropolar fluid with generalized Newton constitutive law ⋮ Some Liouville-type results for the 3D incompressible MHD equations ⋮ Pullback dynamics and statistical solutions for dissipative non-autonomous Zakharov equations ⋮ Probabilistic descriptions of fluid flow: a survey ⋮ Invariant measures and stochastic Liouville type theorem for non-autonomous stochastic reaction-diffusion equations ⋮ Equivalence between invariant measures and statistical solutions for the 2D non‐autonomous magneto‐micropolar fluid equations ⋮ Using trajectory attractor to construct trajectory statistical solution for the 3D incompressible micropolar flows ⋮ Global attractors for the three-dimensional tropical climate model with damping terms ⋮ Strong attractors for the strongly damped wave equations on time-dependent spaces ⋮ Unnamed Item ⋮ Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays ⋮ Unnamed Item ⋮ Invariant measures and statistical solutions for the nonautonomous discrete modified Swift-Hohenberg equation ⋮ Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices ⋮ Statistical solution and partial degenerate regularity for the 2D non-autonomous magneto-micropolar fluids ⋮ Random attractors for 2D stochastic micropolar fluid flows on unbounded domains ⋮ Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach ⋮ Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth ⋮ Ergodic theory for energetically open compressible fluid flows ⋮ Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations ⋮ Trajectory attractors of the 3D micropolar equations with damping term ⋮ Statistical solution and Kolmogorov entropy for the impulsive discrete Klein-Gordon-Schrödinger-type equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Abstract framework for the theory of statistical solutions
- On the convergence of statistical solutions of the 3D Navier-Stokes-\(\alpha\) model as \(\alpha\) vanishes
- Invariant measures for non-autonomous dissipative dynamical systems
- Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity
- Global regularity to the 3D incompressible MHD equations
- Convergence of time averages of weak solutions of the three-dimensional Navier-Stokes equations
- Invariant measures for complex-valued dissipative dynamical systems and applications
- Invariant measures for dissipative systems and generalised Banach limits
- Strong trajectory attractors for dissipative Euler equations
- Invariant measures for dissipative dynamical systems: abstract results and applications
- Regularity of weak solutions to magneto-micropolar fluid equations
- Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion
- Pullback dynamical behaviors of the non-autonomous micropolar fluid flows
- Pullback attractors and statistical solutions for 2-D Navier-Stokes equations
- A note on statistical solutions of the three-dimensional Navier-Stokes equations: The stationary case
- Upper semi-continuity of stationary statistical properties of dissipative systems
- Global attractors of evolutionary systems
- Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid
- Sur les solutions statistiques des équations de Navier-Stokes
- A note on the existence and uniqueness of solutions of the micropolar fluid equations
- Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations
- Micropolar fluids. Theory and applications
- Magneto-micropolar fluid motion: Existence of weak solutions
- Pullback attractor and invariant measures for the three-dimensional regularized MHD equations
- On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity
- Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations
- Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains
- Large time decay of solutions for the 3D magneto-micropolar equations
- Global strong solutions to the 3D incompressible MHD equations with density-dependent viscosity
- Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity
- Invariant measures for multivalued semigroups
- A note on statistical solutions of the three-dimensional Navier-Stokes equations: the time-dependent case
- Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations
- Trajectory statistical solutions for the 3D Navier-Stokes equations: the trajectory attractor approach
- Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations
- Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations
- Trajectory Statistical Solutions for Three-Dimensional Navier--Stokes-Like Systems
- Trajectory attractors of equations of mathematical physics
- Global Regularity for the 2D Magneto-Micropolar Equations with Partial Dissipation
- Magneto - Micropolar Fluid Motion: Existence and Uniqueness of Strong Solution
This page was built for publication: Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications