Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations
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Publication:306244
DOI10.1016/j.jde.2016.07.007zbMath1347.35041arXiv1407.1712OpenAlexW2963040346MaRDI QIDQ306244
Jacek Cyranka, Piotr Zgliczyński
Publication date: 31 August 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.1712
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Navier-Stokes equations (35Q30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Cites Work
- Three stories of high oscillation
- Averaging principle and hyperbolic evolution equations
- Existence of globally attracting fixed points of viscous Burgers equation with constant forcing. A computer assisted proof
- Rigorous numerics for dissipative PDEs. III: An effective algorithm for rigorous integration of dissipative PDEs
- Exponential averaging under rapid quasiperiodic forcing
- A Lohner-type algorithm for control systems and ordinary differential inclusions
- The separation of motions in systems with rapidly rotating phase
- Geometric theory of semilinear parabolic equations
- Averaging in infinite dimensions
- Homotopy and bounded solutions of ordinary differential equations
- On smooth dependence on initial conditions for dissipative PDEs, an ODE-type approach.
- An averaging theorem for quasilinear Hamiltonian PDEs
- Averaging, Conley index continuation and recurrent dynamics in almost-periodic parabolic equations
- Navier-Stokes systems with periodic boundary conditions
- Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE -- a computer-assisted proof
- Recent results on mathematical and statistical hydrodynamics
- Random Perturbations of Dynamical Systems
- AN ELEMENTARY PROOF OF THE EXISTENCE AND UNIQUENESS THEOREM FOR THE NAVIER–STOKES EQUATIONS
- Exponential averaging for Hamiltonian evolution equations
- Existence of Globally Attracting Solutions for One-Dimensional Viscous Burgers Equation with Nonautonomous Forcing---A Computer Assisted Proof
- Time-averaging under fast periodic forcing of parabolic partial differential equations: Exponential estimates
- Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation
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