Michele Coti Zelati
Senior Lecturer, Imperial College London

My research interests are focused on partial differential equations, with emphasis on infinite-dimensional dynamical systems, fluid dynamics and nonlocal equations. Here are my MathSciNet and Google Scholar footprints. Most of my papers are also available on the arXiv preprint server (these though may not be the latest versions of the papers). A few of them are also on ResearchGate.

  1. J. Bedrossian, R. Bianchini, M. Coti Zelati & M. Dolce, Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional Boussinesq equations, submitted. arXiv:2103.13713

  2. M. Coti Zelati, M. Dolce, Y. Feng & A.L. Mazzucato, Global Existence for the Two-dimensional Kuramoto-Sivashinsky equation with a Shear Flow, submitted. arXiv:2103.02971

  3. M. Colombo, M. Coti Zelati & K. Widmayer, Mixing and diffusion for rough shear flows, submitted. arXiv:2009.12268

  4. M. Coti Zelati & G.A. Pavliotis, Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows, IMA Journal of Applied Mathematics 85 (2020), 951–979. arXiv:2008.11710

  5. M. Coti Zelati, T.M. Elgindi & K. Widmayer, Stationary Structures near the Kolmogorov and Poiseuille Flows in the 2d Euler Equations, submitted. arXiv:2007.11547

  6. R. Bianchini, M. Coti Zelati & M. Dolce, Linear inviscid damping for shear flows near Couette in the 2D stably stratified regime, Indiana University Mathematics Journal, to appear. arXiv:2005.09058

  7. M. Coti Zelati & M. Hairer, A noise-induced transition in the Lorenz system, Communications in Mathematical Physics 383 (2021), 2243-2274. arXiv:2004.12815

  8. M. Coti Zelati & T.D. Drivas, A stochastic approach to enhanced diffusion, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, to appear. arXiv:1911.09995

  9. M. Coti Zelati, Stable mixing estimates in the infinite Péclet number limit, Journal of Functional Analysis 279 (2020), 108562. arXiv:1909.01310

  10. M. Coti Zelati & M. Dolce, Separation of time-scales in drift-diffusion equations on R2, Journal de Mathématiques Pures et Appliquées 142 (2020), 58-75. arXiv:1907.04012

  11. J. Bedrossian, M. Coti Zelati, S. Punshon-Smith & F. Weber, Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations, Archive for Rational Mechanics and Analysis 237 (2020), 103–145. arXiv:1905.03299

  12. M. Coti Zelati, T.M. Elgindi & K. Widmayer, Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow, Communications in Mathematical Physics 378 (2020), 987-1010. arXiv:1901.01571

  13. M. Coti Zelati, M.G. Delgadino & T.M. Elgindi, On the relation between enhanced dissipation time-scales and mixing rates, Communications on Pure and Applied Mathematics 73 (2020), 1205-1244. arXiv:1806.03258

  14. J. Bedrossian, M. Coti Zelati, S. Punshon-Smith & F. Weber, A sufficient condition for the Kolmogorov 4/5 law for stationary martingale solutions to the 3D Navier-Stokes equations, Communications in Mathematical Physics 367 (2019), 1045-1075. arXiv:1803.09695

  15. M. Coti Zelati, N. Glatt-Holtz & K. Trivisa, Invariant measures for the stochastic one-dimensional compressible Navier-Stokes equations, Applied Mathematics and Optimization 83 (2021), 1487-1522. arXiv:1802.04000

  16. M. Coti Zelati & C. Zillinger, On degenerate circular and shear flows: the point vortex and power law circular flows, Communications in Partial Differential Equations 44 (2019), 110-155. arXiv:1801.07371

  17. J.Bedrossian, M. Coti Zelati & V. Vicol, Vortex axisymmetrization, inviscid damping, and vorticity depletion in the linearized 2D Euler equations, Annals of PDE 5 (2019), Art. 4, 192. arXiv:1711.03668

  18. M. Coti Zelati, Long time behavior and critical limit of subcritical SQG equations in scale-invariant Sobolev spaces, Journal of Nonlinear Science 28 (2018), 305-335. arXiv:1512.00497

  19. M. Coti Zelati & P. Kalita, Smooth attractors for weak solutions of the SQG equation with critical dissipation, Discrete and Continuous Dynamical Systems - Series B 22 (2017), 1857-1873. arXiv:1512.08418

  20. J. Bedrossian & M. Coti Zelati, Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows, Archive for Rational Mechanics and Analysis 224 (2017), 1161–1204. arXiv:1510.08098

  21. P. Constantin, M. Coti Zelati & V. Vicol, Uniformly attracting limit sets for the critically dissipative SQG equation, Nonlinearity 29 (2016), 298–318. arXiv:1506.06375

  22. J. Bedrossian, M. Coti Zelati & N. Glatt-Holtz, Invariant measures for passive scalars in the small noise inviscid limit, Communications in Mathematical Physics 348 (2016), 101–127. arXiv:1505.07356

  23. M. Coti Zelati & V. Vicol, On the global regularity for the supercritical SQG equation, Indiana University Mathematics Journal 65 (2016), 535-552. arXiv:1410.3186

  24. M. Coti Zelati & C.G. Gal, Singular limits of Voigt models in fluid dynamics, Journal of Mathematical Fluid Mechanics 17 (2015), 233-259. arXiv:1408.3497

  25. M. Coti Zelati & P. Kalita, Minimality properties of set-valued processes and their pullback attractors, SIAM Journal on Mathematical Analysis 47 (2015), 1530-1561. arXiv:1407.6135

  26. M. Coti Zelati, A. Huang, I. Kukavica, R. Temam & M. Ziane, The primitive equations of the atmosphere in presence of vapor saturation, Nonlinearity 28 (2015), 625-668. arXiv:1406.3165

  27. A. Bousquet, M. Coti Zelati & R. Temam, Phase transition models in atmospheric dynamics, Milan Journal of Mathematics 82 (2014), 99-128.

  28. M. Coti Zelati, M. Frémond, R. Temam & J. Tribbia, The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds, Physica D 264 (2013), 49-65.

  29. M. Coti Zelati, Remarks on the approximation of the Navier-Stokes equations via the implicit Euler scheme, Communications on Pure and Applied Analysis 12 (2013), 2829-2838.

  30. M. Coti Zelati, On the theory of global attractors and Lyapunov functionals, Set-Valued and Variational Analysis 21 (2013), 127-149.

  31. M. Coti Zelati, F. Dell'Oro & V. Pata, Energy decay of type III linear thermoelastic plates with memory, Journal of Mathematical Analysis and Applications 401 (2013), 357-366.

  32. M. Coti Zelati & F. Tone, Multivalued attractors and their approximation: applications to the Navier-Stokes equations, Numerische Mathematik 122 (2012), 421-441. arXiv:1111.4368

  33. M. Coti Zelati & R. Temam, The atmospheric equation of water vapor with saturation, Bollettino dell'Unione Matematica Italiana 5 (2012), 309-336.

  34. M. Coti Zelati, R. Quintanilla & V. Pata, Regular global attractors of type III thermoelastic extensible beams, Chinese Annals of Mathematics 31 (2010), 619-630.

  35. M. Conti & M. Coti Zelati, Attractors for the Cahn-Hilliard equation with memory in 2D, Nonlinear Analysis 72 (2010), 1668-1682.

  36. M. Coti Zelati, C. Giorgi & V. Pata, Steady states of the hinged extensible beam with external load, Mathematical Models and Methods in Applied Sciences 20 (2010), 43-58.

  37. M. Coti Zelati, Global and exponential attractors for the singularly perturbed extensible beam, Discrete and Continuous Dynamical Systems 25 (2009), 1041-1060.