Sergei Kuksin

activity

20102014

most citedDamped-driven KdV and effective equation for long-time behaviour of its solutions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2014

The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on $β$ -plane

Sergei Kuksin, Alberto Maiocchi

We consider the 2d quasigeostrophic equation on the $β$ -plane for the stream function $ψ$ , with dissipation and a random force: $$ (*)\qquad (-Δ+K)ψ_t - ρJ(ψ, Δψ) -βψ_x= \langle \t…

math.AP2012

Analyticity of solutions for quasilinear wave equations and other quasilinear systems

Sergei Kuksin, Nikolai Nadirashvili

We prove the persistence of analyticity for classical solution of the Cauchy problem for quasilinear wave equations with analytic data. Our results show that the analyticity of sol…

math.AP2010★ 1 cited

Damped-driven KdV and effective equation for long-time behaviour of its solutions

Sergei B. Kuksin

For the damped-driven KdV equation $u ˙ - ν u_{xx} + u_{xxx} - 6 u u_{x} = ν η (t, x), x \in S^{1}, \int u d x \equiv \int η d x \equiv 0,$ with $0 < ν \leq 1$ and smooth in $x$ white in $t$ random…

The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on β-plane

Analyticity of solutions for quasilinear wave equations and other quasilinear systems

Damped-driven KdV and effective equation for long-time behaviour of its solutions

The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on $β$ -plane