Mathematics of two-dimensional turbulence S Kuksin, A Shirikyan Cambridge University Press, 2012 | 299 | 2012 |
Stochastic dissipative PDE's and Gibbs measures S Kuksin, A Shirikyan Communications in Mathematical Physics 213, 291-330, 2000 | 164 | 2000 |
A Coupling Approach to Randomly Forced Nonlinear PDE's. I S Kuksin, A Shirikyan Communications in Mathematical Physics 221 (2), 351-366, 2001 | 146 | 2001 |
Coupling approach to white-forced nonlinear PDEs S Kuksin, A Shirikyan Journal de mathématiques pures et appliquées 81 (6), 567-602, 2002 | 100 | 2002 |
Approximate controllability of three-dimensional Navier–Stokes equations A Shirikyan Communications in mathematical physics 266, 123-151, 2006 | 75 | 2006 |
Ergodicity for the randomly forced 2D Navier–Stokes equations S Kuksin, A Shirikyan Mathematical Physics, Analysis and Geometry 4, 147-195, 2001 | 75 | 2001 |
Randomly forced CGL equation: stationary measures and the inviscid limit S Kuksin, A Shirikyan Journal of Physics A: Mathematical and General 37 (12), 3805, 2004 | 72 | 2004 |
A coupling approach to randomly forced nonlinear PDE's. II S Kuksin, A Piatniski, A Shirikyan Communications in mathematical physics 230, 81-85, 2002 | 72 | 2002 |
Exponential ergodicity and regularity for equations with Lévy noise E Priola, A Shirikyan, L Xu, J Zabczyk Stochastic Processes and their Applications 122 (1), 106-133, 2012 | 69 | 2012 |
Internal exponential stabilization to a nonstationary solution for 3D Navier–Stokes equations V Barbu, SS Rodrigues, A Shirikyan SIAM journal on control and optimization 49 (4), 1454-1478, 2011 | 69 | 2011 |
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise S Kuksin, V Nersesyan, A Shirikyan Geometric and Functional Analysis 30 (1), 126-187, 2020 | 55 | 2020 |
Exact controllability in projections for three-dimensional Navier-Stokes equations A Shirikyan Annales de l'IHP Analyse non linéaire 24 (4), 521-537, 2007 | 49* | 2007 |
On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations A Agrachev, S Kuksin, A Sarychev, A Shirikyan Annales de l'IHP Probabilités et statistiques 43 (4), 399-415, 2007 | 47 | 2007 |
Law of large numbers and central limit theorem for randomly forced PDE's A Shirikyan Probability theory and related fields 134, 215-247, 2006 | 39 | 2006 |
Exponential mixing for 2D Navier-Stokes equations perturbed by an unbounded noise A Shirikyan Journal of Mathematical Fluid Mechanics 6 (2), 169-193, 2004 | 37 | 2004 |
Exponential attractors for random dynamical systems and applications A Shirikyan, S Zelik Stochastic partial differential equations: analysis and computations 1, 241-281, 2013 | 33 | 2013 |
Ergodicity for a class of Markov processes and applications to randomly forced PDE's. II A Shirikyan DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B 6 (4), 911, 2006 | 32 | 2006 |
Entropic fluctuations in thermally driven harmonic networks V Jakšić, CA Pillet, A Shirikyan Journal of Statistical Physics 166 (3), 1-90, 2017 | 31 | 2017 |
Analyticity of solutions for randomly forced two-dimensional Navier-Stokes equations AR Shirikyan Russian Mathematical Surveys 57 (4), 785, 2002 | 31 | 2002 |
Large deviations from a stationary measure for a class of dissipative PDEs with random kicks V Jakšić, V Nersesyan, CA Pillet, A Shirikyan Communications on Pure and Applied Mathematics 68 (12), 2108-2143, 2015 | 28 | 2015 |