SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP
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Publication:5448986
DOI10.1017/S0017089507003849zbMath1142.35067MaRDI QIDQ5448986
Publication date: 10 March 2008
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on \(\mathbb R^2\)
- The attractor of a Navier-Stokes system in an unbounded channel-like domain
- Hydrodynamics in Besov spaces
- Global existence results for pattern forming processes in infinite cylindrical domains -- applications to 3D Navier-Stokes problems
- Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders
- Almost global existence and transient self similar decay for Poiseuille flow at criticality for exponentially long times
- On the strong solvability of the Navier-Stokes equations
- Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain
- Dynamical properties of spatially non-decaying 2D Navier-Stokes flows with Kolmogorov forcing in an infinite strip
- Wave-solutions of reversible systems and applications
- Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction diffusion systems in \(\mathbb{R}^n\)
- Water waves for small surface tension: an approach via normal form
- Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity
- The attractor for a nonlinear reaction-diffusion system in an unbounded domain
- Attractors for modulation equations on unbounded domains-existence and comparison
- Attractors of partial differential evolution equations in an unbounded domain
- Multi-phase solutions to the Navier-Stokes problem between parallel plates
- Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity
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