## Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations.(English)Zbl 1479.35101

Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 209-229 (2021).
Summary: We prove existence of the global attractor of the damped and driven 2D Euler-Bardina equations on the torus and give an explicit two-sided estimate of its dimension that is sharp as $$\alpha\to 0^+$$.
For the entire collection see [Zbl 1465.35005].

### MSC:

 35B40 Asymptotic behavior of solutions to PDEs 35B41 Attractors 35B45 A priori estimates in context of PDEs 35Q31 Euler equations 37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems

### Keywords:

damped Euler-Bardina equations; $$\alpha$$ models
Full Text:

### References:

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