48 citations · 180 across the 33 of their papers we have counts for
5 papers · 1 filter
Hölder estimates for solutions of parabolic SPDEs
Sergey Kuksin, Nikolai Nadirashvili, Andrey Piatnitski
This paper considers second-order stochastic partial differential equations with additive noise given in a bounded domain of . We suppose that the coefficients of the…
A refinement of Heath-Brown's theorem on quadratic forms
Andrey Dymov, Sergei Kuksin, Alberto Maiocchi +1
In his paper from 1996 on quadratic forms Heath-Brown developed a version of the circle method to count points in the intersection of an unbounded quadric with a lattice of short p…
Some remarks on Heath-Brown's theorem on quadratic forms
Andrey Dymov, Sergei Kuksin, Alberto Maiocchi +1
In his paper from 1996 on quadratic forms Heath-Brown developed a version of circle method to count points in the intersection of an unbounded quadric with a lattice of short perio…
The large-period limit for equations of discrete turbulence
Andrey Dymov, Sergei Kuksin, Alberto Maiocchi +1
We consider the damped/driven cubic NLS equation on the torus of a large period with a small nonlinearity of size , a properly scaled random forcing and dissipation. We exam…
Kolmogorov's theory of turbulence and its rigorous 1d model
Sergei Kuksin
This paper is a synopsis of the recent book A. Boritchev, S. Kuksin, \textit{One-Dimensional Turbulence and the Stochastic Burgers Equation}, AMS Publications, 2021 (to appear). Th…