32 citations · 90 across the 37 of their papers we have counts for
45 papers
Navier-Stokes Equations in Complex Space
Nikolai Nadirashvili
We prove global in time regularity of solutions of the Navier-Stokes equations defined in the complex space.
Complete Description of Measures Corresponding to Abelian Varieties over Finite Fields
Nikolai S. Nadirashvili, Michael A. Tsfasman
We study probability measures corresponding to families of abelian varieties over a finite field. These measures play an important role in the Tsfasman- Vladuts theory of asymptoti…
Almost everywhere and norm convergence of Approximate Identity and Fejér means of trigonometric and Vilenkin systems
N. Nadirashvili, G. Tephnadze, G. Tutberidze
In this paper, we investigate very general approximation kernels with special properties, called an approximate identity, and prove almost everywhere and norm convergence of these…
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…
The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions
A. Logunov, E. Malinnikova, N. Nadirashvili +1
Let be a bounded domain in with boundary and let be a Dirichlet Laplace eigenfunction in with eigenvalue . We show that the -dimensio…
Conformally maximal metrics for Laplace eigenvalues on surfaces
Mikhail Karpukhin, Nikolai Nadirashvili, Alexei V. Penskoi +1
The paper is concerned with the maximization of Laplace eigenvalues on surfaces of given volume with a Riemannian metric in a fixed conformal class. A significant progress on this…