49 citations · 70 across the 11 of their papers we have counts for
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math.AP2016
Decaying turbulence for the fractional subcritical Burgers equation
Alexandre Boritchev
We consider the fractional unforced Burgers equation in the one-dimensional space-periodic setting: $$\partial u/\partial t+(f(u))_x +νΛ^α u= 0, t \geq 0,\ \mathbb{x} \in \mathbb{T…
math.DS2016
Exponential convergence to the stationary measure for a class of 1D Lagrangian systems with random forcing
Alexandre Boritchev
We prove exponential convergence to the stationary measure for a class of 1d Lagrangian systems with random forcing in the space-periodic setting: $$ ϕ_t+ϕ_x^2/2=F^ω, x \in S^1 = \…