publications

Recent Publications:

On the energy of inviscid singular flows. .pdf
Instability of periodic streamlines in a perfect fluid. .pdf
A geometric condition implying energy equality for solutions of 3D Navier-Stokes equation. .pdf
On the regularity of weak solutions of the 3D Navier-Stokes equations in $B^{-1}_{\infty,\infty}$ (with A. Cheskidov) .pdf
On the energy equality for weak solutions of the 3D Navier-Stokes equations (with A. Cheskidov, S. Friedlander) .pdf
Energy conservation and Onsager's conjecture for the Euler equations (with A. Cheskidov, P. Constantin, S. Friedlander) .pdf

The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscousity (with S. Fiedlander) .pdf
Cocycles and Mañe sequences with an application to ideal fluids, .pdf
Nonlinear instability for the Navier-Stokes equations (with S. Friedlander and N. Pavlovic) .pdf
The essential spectrum of advective equations, .pdf .ps
On recent developments in the spectral problem for the linearized Euler equation, (with S. Friedlander) .pdf .ps
The Unstable Spectrum of the Surface Quasi-geostrophic Equation, (with S. Friedlander) .pdf .ps
On spectrum of the linearized 3D Euler equation, (with M. Vishik) .pdf .ps
The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band, (with Y. Latushkin) .pdf .ps
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents, (with Y. Latushkin) .pdf .ps

PH.D. Thesis: Operators and Integral in Banach spaces, (under the supervision of N. Kalton and Y. Latushkin) .pdf
A dimension-dependent maximal inequality, .pdf .ps
Hyperbolicity of semigroups and Fourier multipliers, (with Y. Latushkin) .pdf .ps
Trotter's product formula for projections, (with M. Matolcsi) .pdf .ps
Hyperbolicity of delay equations via Fourier multipliers, (with A. Batkai and E. Fasanga) .pdf .ps
On Krein-Šmulian theorem for weaker topologies, (with B. Cascales)
Narrow operators on vector-valued sup-normed spaces, (with D. Bilik, V. Kadets, G. Sirotkin and D. Werner)
Narrow operators and rich subspaces of Banach spaces with the Daugavet property (with V. Kadets and D. Werner)
Narrow operators and the Daugavet property for ultraproducts (with D. Bilik, V. Kadets and D. Werner)

Espaces de Banach ayant la propriété de Daugavet, (with V. Kadets and D. Werner)
The largest linear space of operators satisfying the Daugavet Equation in $L_1$
The Daugavet property for pairs of Banach spaces, (with V. Kadets)
Geometric aspects of the Daugavet property
Banach spaces with the Daugavet property (with V. Kadets, G. Sirotkin, D. Werner)
Some remarks on vector-valued integration (with V. Kadets, B. Shumyatskiy, L. Tseytlin and K. Zheltukhin)