We study the dual cascade scenario for two-dimensional turbulence driven by a spectrally localized forcing applied over a finite wavenumber range [kmin, kmax] (with kmin > 0) such that the respective… (More)

We study quasisteady inverse cascades in unbounded and bounded two-dimensional turbulence driven by time-independent injection and dissipated by molecular viscosity. It is shown that an inverse… (More)

We present a scaling theory for unforced inviscid two-dimensional turbulence. Our model unifies existing spatial and temporal scaling theories. The theory is based on a self-similar distribution of… (More)

We study the inverse energy transfer in forced two-dimensional (2D) Navier–Stokes turbulence in a doubly periodic domain. It is shown that an inverse energy cascade that carries a nonzero fraction of… (More)

We study two-dimensional turbulence in a doubly periodic domain driven by a monoscale-like forcing and damped by various dissipation mechanisms of the form νμ(−∆) μ. By “monoscale-like” we mean that… (More)

We study the linear and nonlinear stability of stationary solutions of the forced two-dimensional Navier-Stokes equations on the domain [0, 2π]× [0, 2π/α], where α ∈ (0, 1], with doubly periodic… (More)

Two-dimensional turbulence governed by the so-called α turbulence equations, which include the surface quasi-geostrophic equation (α = 1), the Navier–Stokes system (α = 2), and the governing equation… (More)

Recent mathematical results have shown that a central assumption in the theory of two-dimensional turbulence proposed by Batchelor (Phys. Fluids, vol. 12, 1969, p. 233) is false. That theory, which… (More)