Noise in Convection

Thermally driven flows are omnipresent in various phenomena ranging from heat production in buildings and industrial processes, to the atmosphere and oceans, to the Earth and stars including the sun. One of the main interests lies in the mechanism of natural convection in which a fluid exhibits movement under the influence of temperature differences and gravitational forces.

The description of convection especially in the regime of (the onset of) turbulence remains a long-standing challenge. In recent years, stochastic perturbation of fluid dynamic equations has attracted a lot of attention since they are widely expected to better capture the intrinsic turbulent nature of fluid flows as compared to the deterministic case. The core aim of our research group is to derive new perspectives on the understanding of convection in a stochastic framework, both in modelling and analysis. More precisely, we aim to

• systematically derive physically relevant stochastic fluid dynamic equations related to convection,

• study their well-posedness and regularity,

• investigate their effects on the underlying system.