Gianmarco Del Sarto - Publications

Published articles

[1] Global well-posedness for small data in a 3D temperature-velocity model with Dirichlet boundary noise. With M. Lenzi. Electronic Journal of Probability, 2026.

[2] Dynamic boundary conditions with noise for an energy balance model coupled to geophysical flows. With M. Hieber and T. Zöchling. Mathematische Nachrichten, 2026.

[3] Time-Periodic Solutions to an Energy Balance Model for Arbitrarily Large Forces. With M. Hieber, F. Palma, and T. Zöchling. Nonlinear Analysis: Real World Applications, 2026.

[4] Optimal response for stochastic differential equations by local kernel perturbations. With S. Galatolo and S. Jain. Chaos, 2025.

[5] A non-autonomous framework for climate change and extreme weather events increase in a stochastic energy balance model. With F. Flandoli. Chaos, 2024.

[6] Variational Techniques for a One-Dimensional Energy Balance Model. With J. Bröcker, F. Flandoli, and T. Kuna. Nonlinear Processes in Geophysics, 2024.

Preprints

[7] Continuous Data Assimilation for Semilinear Parabolic Equations with Multiplicative Observation Noise. With J. Bröcker, M. Hieber, F. Palma, and T. Zöchling. Arxiv, 2026.

[8] Noise-Driven Free Boundaries in the Compressible Navier-Stokes Equations. With M. Hieber and T. Zöchling. Arxiv, 2026.

[9] Optimal response for stochastic differential equations in T^d with perturbations on the drift term. With F. Flandoli, S. Galatolo, S. Jain, and A. Ni. Arxiv, 2026.

[10] A Multiplicative-Noise Mechanism for Variability Amplification under Radiative Forcing in an Arctic Energy-Balance Model. With F. Flandoli and M. Lenzi. Arxiv, 2026.

[11] Continuous Data Assimilation for Semilinear Parabolic Equations: A Functional-Analytic Approach. With M. Hieber, F. Palma, and T. Zöchling. Arxiv, 2025.

[12] A Mean Field Game approach for pollution regulation of competitive firms. With M. Leocata and G. Livieri. Arxiv, 2024.

Research interests

My main research area is the analysis of reduced stochastic climate models, especially energy-balance models and their couplings with geophysical fluid equations. I study how stochastic forcing, radiative forcing, and multiplicative noise affect climate variability, stability, and qualitative features of the dynamics.

I also work on stochastic PDEs from geophysical fluid dynamics, continuous data assimilation for dissipative parabolic equations, response theory for stochastic dynamical systems, and mean-field game models related to pollution regulation and the energy transition.