Publications

  1. T. Harutyunyan, V. Nersesyan, A uniqueness theorem in the inverse Sturm–Liouville problem, J. Contemp. Math. Anal., 39(6): 27–36, 2004. PDF
  2. V. Nersesyan, Polynomial mixing for the complex Ginzburg–Landau equation perturbed by a random force at random times, J. Evol. Equ., 8(1): 1–29, 2008. PDF
  3. V. Nersesyan, Exponential mixing for finite-dimensional approximations of the Schrödinger equation with multiplicative noise, Dyn. PDE, 6(2): 167–183, 2009. PDF
  4. V. Nersesyan, Growth of Sobolev norms and controllability of Schrödinger equation, Comm. Math. Phys., 290: 371–387, 2009. PDF
  5. V. Nersesyan, Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications, Annales de l’IHP:AN, 27(3): 901–915, 2010, PDF
  6. K. Beauchard, V. Nersesyan, Semi-global weak stabilization of bilinear Schrödinger equations, C. R. Math. Acad. Sci. Paris, 348(19-20): 1073–1078, 2010. PDF
  7. V. Nersesyan, H. Nersisyan, Global exact controllability in infinite time of Schrödinger equation, J. Math. Pures et Appl., 97(4): 295–317, 2012. PDF
  8. S. Kuksin, V. Nersesyan, Stochastic CGL equations without linear dispersion in any space dimension, Stoch. PDE: Anal. Comp., 1(3): 389–423, 2013. PDF
  9. M. Morancey, V. Nersesyan, Global exact controllability of 1D Schrödinger equations with a polarizability term, C. R. Math. Acad. Sci. Paris, 352(5): 425–429, 2014. PDF
  10. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan, Large deviations from a stationary measure for a class of dissipative PDE’s with random kicks, Comm. Pure Appl. Math., 68(12): 2108–2143, 2015. PDF
  11. M. Morancey, V. Nersesyan, Simultaneous global exact controllability of an arbitrary number of 1D bilinear Schrödinger equations, J. Math. Pures et Appl., 103(1): 228–254, 2015. PDF
  12. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan, Large deviations and Gallavotti–Cohen principle for dissipative PDE’s with rough noise, Comm. Math. Phys., 336: 131–170, 2015 PDF
  13. V. Nersesyan, Approximate controllability of Lagrangian trajectories of the 3D Navier–Stokes system by a finite-dimensional force, Nonlinearity, 28(3): 825–848, 2015. PDF
  14. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan, Large deviations and mixing for dissipative PDE’s with unbounded random kicks, Nonlinearity, 31(2): 540–596, 2018. PDF
  15. D. Martirosyan, V. Nersesyan, Local large deviations principle for occupation measures of the stochastic damped nonlinear wave equation, Annales de l’IHP:PS, 54(4): 2002–2041, 2018. PDF
  16. D. Martirosyan, V. Nersesyan, Multiplicative ergodic theorem for a non-irreducible random dynamical system, J. Differential Equations, 268(7): 3564–3598, 2020. PDF
  17. S. Kuksin, V. Nersesyan, A. Shirikyan, Exponential mixing for a class of dissipative PDEs with bounded degenerate noise, Geom. Funct. Anal., 30(1): 126–187, 2020. PDF
  18. V. Nersesyan, Large deviations for the Navier–Stokes equations driven by a white-in-time noise, Annales Henri Lebesgue, 2: 481–513, 2019. PDF
  19. V. Nersesyan, Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension, Math. Control Relat. Fields, 11(2): 1–15, 2021. PDF
  20. S. Kuksin, V. Nersesyan, A. Shirikyan, Mixing via controllability for randomly forced nonlinear dissipative PDEs, J. Éc. Polytech. Math., 7: 871–896, 2020. PDF
  21. V. Jaksic, V. Nersesyan, C.-A. Pillet, A. Shirikyan, Large deviations and entropy production in viscous fluid flows, Arch. Ration. Mech. Anal, 240: 1675-1725, 2021. PDF
  22. V. Nersesyan, A proof of approximate controllability of the 3D Navier–Stokes system via a linear test, SIAM J. Control Optim., 59(4), 2411-2427, 2021. PDF
  23. V. Nersesyan, R. Raquépas, Exponential mixing under controllability conditions for SDEs driven by a degenerate Poisson noise, Stochastic Process. Appl, 138: 26–55, 2021. PDF
  24. V. Nersesyan, Ergodicity for the randomly forced Navier–Stokes system in a two-dimensional unbounded domain, Annales Henri Poincaré, 23: 2277-2294, 2022. PDF
  25. P.-M. Boulvard, P. Gao, V. Nersesyan, Controllability and ergodicity of 3D primitive equations driven by a finite-dimensional force, Arch. Ration. Mech. Anal., 247 (1), Paper No. 2, 2023. PDF
  26. V. Nersesyan, X. Peng, L. Xu, Large deviations via Malliavin calculus for the Navier–Stokes system driven by a degenerate white-in-time noise, J. Differential Equations, 362 (2023), 230–249, 2022. PDF
  27. V. Nersesyan, M. Zhao, Exponential mixing for the white-forced complex Ginzburg–Landau equation in the whole space, SIAM J. Math. Anal. 56 (3), 3646–3678, 2024. PDF
  28. V. Nersesyan, The complex Ginzburg–Landau equation perturbed by a force localised both in physical and Fourier spaces, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 25 (2), 1203-1223, 2024. PDF
  29. L. Mertz, V. Nersesyan, M. Rissel, Exponential mixing of constrained random dynamical systems via controllability conditions, SIAM J. Control Optim., 62(6), 3266-3287, 2024. PDF
  30. A. Duca, V. Nersesyan, Local exact controllability of the 1D nonlinear Schrödinger equation in the case of Dirichlet boundary conditions, SIAM J. Control Optim., 63 (1), S20-S36, 2025. PDF
  31. A. Duca, V. Nersesyan, Bilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation, J. Eur. Math. Soc., 27(6), 2603-2622, 2025. PDF
  32. V. Nersesyan, M. Rissel, Localized and degenerate controls for the incompressible Navier–Stokes system, Comm. Pure Appl. Math., 78(7), 1285-1319, 2025. PDF 
  33. V. Nersesyan, M. Rissel, Global controllability of Boussinesq flows by using only a temperature control, Arch. Ration. Mech. Anal., 249(5), Paper No. 58, 2025. PDF           
          
    Preprints
                    
  34. V. Nersesyan, D. Zhang, C. Zhou, On the chaotic behavior of the Lagrangian flow of the 2D Navier–Stokes system with bounded degenerate noise, preprint, 2024. PDF
  35. V. Nersesyan, M. Zhao, Polynomial mixing for the white-forced Navier-Stokes system in the whole space, preprint, 2024. PDF
  36. K. Koike, V. Nersesyan, M. Rissel, M. Tucsnak, Relaxation enhancement by controlling incompressible fluid flows, preprint, 2025. PDF          
            
           
    Other publications                                                        
  • V. Nersesyan: Large deviations results for the stochastic Navier–Stokes equations, Séminaire Laurent Schwartz-EDP et applications. Année 2016-2017,  Exp. No. 17, Ed. Éc. Polytech., Palaiseau. PDF
  • V. Nersesyan:  Quelques problèmes mathématiques en hydrodynamique et physique quantique, habilitation thesis, defended on December 4th, 2015.
  • V. Nersesyan: Contrôle et mélange pour des équations stochastiques de Ginzburg–Landau et Schrödinger, Ph.D. thesis, under the supervision of A. Shirikyan, defended on December 8th, 2008.