Quasi-periodic solutions for the incompressible Navier-Stokes equations with nonlocal diffusion
DOI10.3934/era.2023363OpenAlexW4388578923MaRDI QIDQ6153180
Publication date: 13 February 2024
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2023363
asymptotic stabilityquasi-periodic solutionsexponential decaynonlocal diffusionNavier-Stokes (NS) equations
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Fixed-point theorems (47H10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Resonance in context of PDEs (35B34) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic Lagrangian particle approach to fractal Navier-Stokes equations
- A note on the existence of periodic solutions of the Navier-Stokes equations
- Qualche risultato riguardo alle equazioni di Navier-Stokes nel caso bidimensionale
- Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
- Existence of time-periodic solutions to the Navier-Stokes equations around a moving body
- The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force
- Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations
- Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body
- Periodic solutions of the Navier-Stokes equations in unbounded domains
- The Navier-Stokes equation with time quasi-periodic external force: existence and stability of quasi-periodic solutions
- Viscous flow past a body translating by time-periodic motion with zero average
- Quasi-periodic incompressible Euler flows in 3D
- Partial regularity of suitable weak solutions to the fractional Navier-Stokes equations
- Forward self-similar solutions of the fractional Navier-Stokes equations
- Quasi-periodic solutions to the incompressible Euler equations in dimensions two and higher
- The existence and regularity of time-periodic solutions to the three-dimensional Navier–Stokes equations in the whole space
- AN ELEMENTARY PROOF OF THE EXISTENCE AND UNIQUENESS THEOREM FOR THE NAVIER–STOKES EQUATIONS
- Quasi-periodic solutions of the 2D Euler equation
- Classical Fourier Analysis
- Infinitely many Leray–Hopf solutions for the fractional Navier–Stokes equations
- Time quasi-periodic vortex patches of Euler equation in the plane
This page was built for publication: Quasi-periodic solutions for the incompressible Navier-Stokes equations with nonlocal diffusion