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

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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…