Research

Research interests

Stochastic Partial Differential Equations (SPDEs), Dyadic models of turbulence, Random Dynamical Systems, Invariant Measures, Regularization by noise, (stochastic) Euler equation, (stochastic) Navier-Stokes equation, (stochastic) Swift-Hohenberg equation, Cahn-Hilliard equation, Rayleigh-BĂ©nard convection.

Publications

(Note that in most cases the links are to the arXiv version of the paper.)

Preprints

Articles in peer reviewed journals

1.
Bianchi LA, Blömker D (2021) The impact of white noise on a supercritical bifurcation in the Swift–Hohenberg equation. Physica D: Nonlinear Phenomena 415: 132742. Download
1.
Bianchi LA, Flandoli F (2020) Stochastic Navier-Stokes Equations and Related Models. Milan J Math 88: 225–246. Download
1.
Bianchi LA, Blömker D, Schneider G (2019) Modulation Equation and SPDEs on Unbounded Domains. Commun Math Phys 371: 19–54. Download
1.
Bianchi LA, Blömker D, Wacker P (2017) Pattern Size in Gaussian Fields from Spinodal Decomposition. SIAM J Appl Math 77: 1292–1319. Download
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Bianchi LA, Morandin F (2017) Structure Function and Fractal Dissipation for an Intermittent Inviscid Dyadic Model. Commun Math Phys 356: 231–260. Download
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Bianchi LA, Blömker D, Yang M (2016) Additive noise destroys the random attractor close to bifurcation. Nonlinearity 29: 3934–3960. Download
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Bianchi LA, Blömker D (2016) Modulation equation for SPDEs in unbounded domains with space–time white noise — Linear theory. Stoch Proc Appl 126: 3171–3201. Download
1.
Barbato D, Bianchi LA, Flandoli F, et al. (2013) A dyadic model on a tree. J Math Phys 54: 021507. Download
1.
Bianchi LA (2013) Uniqueness for an inviscid stochastic dyadic model on a tree. Electron Commun Probab 18: 1–12. Download

Articles in peer reviewed conferences proceedings

1.
Bianchi LA (2019) Cavalieri, paggi e furfanti. La logica nelle Olimpiadi di matematica, Educare alla razionalità. Tra logica e didattica della matematica. Atti del convegno di Sestri Levante 9-11 giugno 2016 in ricordo di Paolo Gentilini, Unione Matematica Italiana, 241--259.
1.
Bianchi LA, Blömker D (2018) Stochastic Modulation Equations on Unbounded Domains. Proceedings of EQUADIFF 2017 295--304. Download