Theoretical tools for understanding the climate crisis from Hasselmann's programme and beyond
Klaus Hasselmann's revolutionary intuition in climate science was to use the stochasticity
associated with fast weather processes to probe the slow dynamics of the climate system …
associated with fast weather processes to probe the slow dynamics of the climate system …
New trends in ensemble forecast strategy: uncertainty quantification for coarse-grid computational fluid dynamics
Numerical simulations of industrial and geophysical fluid flows cannot usually solve the
exact Navier–Stokes equations. Accordingly, they encompass strong local errors. For some …
exact Navier–Stokes equations. Accordingly, they encompass strong local errors. For some …
Second order perturbation theory of two-scale systems in fluid dynamics
In the present paper we study fast-slow systems of coupled equations from fluid dynamics,
where the fast component is perturbed by additive noise. We prove that, under a suitable …
where the fast component is perturbed by additive noise. We prove that, under a suitable …
Solution properties of a 3D stochastic Euler fluid equation
We prove local well-posedness in regular spaces and a Beale–Kato–Majda blow-up
criterion for a recently derived stochastic model of the 3D Euler fluid equation for …
criterion for a recently derived stochastic model of the 3D Euler fluid equation for …
Numerically modeling stochastic Lie transport in fluid dynamics
We present a numerical investigation of stochastic transport in ideal fluids. According to
Holm [Proc. A, 471 (2015)] and Cotter, Gottwald, and Holm [Proc. A, 473 (2017)], the …
Holm [Proc. A, 471 (2015)] and Cotter, Gottwald, and Holm [Proc. A, 473 (2017)], the …
Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise
We construct Hölder continuous, global-in-time probabilistically strong solutions to 3D Euler
equations perturbed by Stratonovich transport noise. Kinetic energy of the solutions can be …
equations perturbed by Stratonovich transport noise. Kinetic energy of the solutions can be …
[LLIBRE][B] Stochastic partial differential equations in fluid mechanics
F Flandoli, E Luongo - 2023 - Springer
These notes originated from a series of lectures given at Waseda University in April–May
2021, supported by Top Global University Project of Waseda University. The first author …
2021, supported by Top Global University Project of Waseda University. The first author …
2D Smagorinsky-type large eddy models as limits of stochastic PDEs
F Flandoli, D Luo, E Luongo - Journal of Nonlinear Science, 2024 - Springer
2D Smagorinsky-Type Large Eddy Models as Limits of Stochastic PDEs | Journal of Nonlinear
Science Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …
Science Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …
A particle filter for stochastic advection by Lie transport: a case study for the damped and forced incompressible two-dimensional Euler equation
In this work, we combine a stochastic model reduction with a particle filter augmented with
tempering and jittering, and apply the combined algorithm to a damped and forced …
tempering and jittering, and apply the combined algorithm to a damped and forced …
Semi-martingale driven variational principles
Spearheaded by the recent efforts to derive stochastic geophysical fluid dynamics models,
we present a general framework for introducing stochasticity into variational principles …
we present a general framework for introducing stochasticity into variational principles …