Finite-Dimensional Attractors and Exponential Attractors for the Navier--Stokes Equations of Compressible Flow
Copyright policy )Finite-Dimensional Attractors and Exponential Attractors for the Navier--Stokes Equations of Compressible Flow
Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
- Indiana University United States
- DePaul University United States
exponential attractors, Attractors, Navier-Stokes equations, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, compressible flow
exponential attractors, Attractors, Navier-Stokes equations, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, compressible flow
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