Sergei Borisovich Kuksin (on his 60th birthday)
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 71 (2016) no. 1, pp. 167-173 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Sergei {Borisovich} {Kuksin} (on his 60th birthday)},
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C. Wayne; T. Kappeler; G. Kokarev; W. Craig; A. Piatnitsky; I. Chueshov; A. Shirikyan; L. H. Eliasson. Sergei Borisovich Kuksin (on his 60th birthday). Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 71 (2016) no. 1, pp. 167-173. http://geodesic.mathdoc.fr/item/RM_2016_71_1_a7/

[1] “Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum”, Funct. Anal. Appl., 21:3 (1987), 192–205 | DOI | MR | Zbl

[2] “Perturbation theory for quasiperiodic solutions of infinite-dimensional Hamiltonian systems, and its application to the Korteweg–de Vries equation”, Math. USSR-Sb., 64:2 (1989), 397–413 | DOI | MR | Zbl

[3] “Pseudoholomorphic 2-tori in $\mathbf T^4$”, Differential Geom. Appl., 6:2 (1996), 109–119 | DOI | MR | Zbl

[4] “Double-periodic solutions of nonlinear Cauchy–Riemann equations”, Comm. Pure Appl. Math., 49:7 (1996), 639–676 | 3.0.CO;2-A class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl

[5] “Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation”, Ann. of Math. (2), 143:1 (1996), 149–179 (with J. Pöschel) | DOI | MR | Zbl

[6] Analysis of Hamiltonian PDEs, Oxford Lecture Ser. Math. Appl., 19, Oxford Univ. Press, Oxford, 2000, xii+212 pp. | MR | Zbl

[7] “Stochastic dissipative PDE's and Gibbs measures”, Comm. Math. Phys., 213:2 (2000), 291–330 (with A. Shirikyan) | DOI | MR | Zbl

[8] “A coupling approach to randomly forced nonlinear PDE's. I”, Comm. Math. Phys., 221:2 (2001), 351–366 (with A. Shirikyan) | DOI | MR | Zbl

[9] “Ergodicity for the randomly forced 2D Navier–Stokes equations”, Math. Phys. Anal. Geom., 4:2 (2001), 147–195 (with A. Shirikyan) | DOI | MR | Zbl

[10] “On exponential convergence to a stationary measure for nonlinear PDEs perturbed by random kick-forces, and the turbulence limit”, Partial differential equations, Amer. Math. Soc. Transl. Ser. 2, 206, Amer. Math. Soc., Providence, RI, 2002, 161–176 | MR | Zbl

[11] “A coupling approach to randomly forced nonlinear PDE's. II”, Comm. Math. Phys., 230:1 (2002), 81–85 (with A. Piatnitski, A. Shirikyan) | DOI | MR | Zbl

[12] “Coupling approach to white-forced nonlinear PDEs”, J. Math. Pures Appl. (9), 81:6 (2002), 567–602 (with A. Shirikyan) | DOI | MR | Zbl

[13] “Perturbations of the harmonic map equation”, Commun. Contemp. Math., 5:4 (2003), 629–669 (with T. Kappeler, V. Schroeder) | DOI | MR | Zbl

[14] “Quasilinear elliptic differential equations for mappings between manifolds. I”, St. Petersburg Math. J., 15:4 (2004), 469–505 (with G. Kokarev) | DOI | MR | Zbl

[15] “The Eulerian limit for 2D statistical hydrodynamics”, J. Statist. Phys., 115:1-2 (2004), 469–492 | DOI | MR | Zbl

[16] “Randomly forced CGL equation: stationary measures and the inviscid limit”, J. Phys. A, 37:12 (2004), 3805–3822 (with A. Shirikyan) | DOI | MR | Zbl

[17] “Poincaré inequalities for maps with target manifold of negative curvature”, Mosc. Math. J., 5:2 (2005), 399–414 (with T. Kappeler, V. Schroeder) | MR | Zbl

[18] “A family of balance relations for the two-dimensional Navier–Stokes equations with random forcing”, J. Statist. Phys., 118:3-4 (2005), 437–449 (with O. Penrose) | DOI | MR | Zbl

[19] “Remarks on the balance relations for the two-dimensional Navier–Stokes equation with random forcing”, J. Statist. Phys., 122:1 (2006), 101–114 | DOI | MR | Zbl

[20] “Quasi-linear elliptic differential equations for mappings of manifolds. II”, Ann. Global Anal. Geom., 31:1 (2007), 59–113 (with G. Kokarev) | DOI | MR | Zbl

[21] “On distribution of energy and vorticity for solutions of 2D Navier–Stokes equation with small viscosity”, Comm. Math. Phys., 284:2 (2008), 407–424 | DOI | MR | Zbl

[22] “Stochastic 3D Navier–Stokes equations in a thin domain and its $\alpha$-approximation”, Phys. D, 237:10-12 (2008), 1352–1367 (with I. Chueshov) | DOI | MR | Zbl

[23] “Random kick-forced 3D Navier–Stokes equations in a thin domain”, Arch. Ration. Mech. Anal., 188:1 (2008), 117–153 (with I. Chueshov) | DOI | MR | Zbl

[24] “Infinite Töplitz–Lipschitz matrices and operators”, Z. Angew. Math. Phys., 59:1 (2008), 24–50 (with H. L. Eliasson) | DOI | MR | Zbl

[25] “Four lectures on KAM for the non-linear Schrödinger equation”, Hamiltonian dynamical systems and applications, NATO Sci. Peace Secur. Ser. B Phys. Biophys., Springer, Dordrecht, 2008, 179–212 (with L. H. Eliasson) | DOI | MR | Zbl

[26] “Khasminskii–Whitham averaging for randomly perturbed KdV equation”, J. Math. Pures Appl. (9), 89:4 (2008), 400–428 (with A. L. Piatnitski) | DOI | MR | Zbl

[27] “On reducibility of Schrödinger equations with quasiperiodic in time potentials”, Comm. Math. Phys., 286:1 (2009), 125–135 (with H. L. Eliasson) | DOI | MR | Zbl

[28] “Damped-driven KdV and effective equations for long-time behaviour of its solutions”, Geom. Funct. Anal., 20:6 (2010), 1431–1463 | DOI | MR | Zbl

[29] “KAM for the nonlinear Schrödinger equation”, Ann. of Math. (2), 172:1 (2010), 371–435 (with L. H. Eliasson) | DOI | MR | Zbl

[30] Mathematics of two-dimensional turbulence, Cambridge Tracts in Math., 194, Cambridge Univ. Press, Cambridge, 2012 (with A. Shirikyan), xvi+320 pp. | DOI | Zbl

[31] “Weakly nonlinear stochastic CGL equations”, Ann. Inst. Henri Poincaré Probab. Statist., 49:4 (2013), 1033–1056 | DOI | MR | Zbl

[32] “The KdV equation under periodic boundary conditions and its perturbations”, Nonlinearity, 27:9 (2014), R61–R88 (with Huang Guan) | DOI | MR | Zbl

[33] “The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on $\beta$-plane”, Nonlinearity, 28:7 (2015), 2319–2341 (with A. Maiocchi) | DOI | MR | Zbl

[34] “Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation”, Phys. D, 309 (2015), 65–70 (with A. Maiocchi) | DOI | MR