Zobrazeno 1 - 10
of 411
pro vyhledávání: '"Cerrai, P."'
Autor:
Cerrai, Sandra, Xie, Mengzi
We study the small-mass limit, also known as the Smoluchowski-Kramers diffusion approximation (see \cite{kra} and \cite{smolu}), for a system of stochastic damped wave equations, whose solution is constrained to live in the unitary sphere of the spac
Externí odkaz:
http://arxiv.org/abs/2409.08021
Autor:
Cerrai, Sandra, Hsu, Wen-Tai
We investigate a class of stochastic partial differential equations of reaction-diffusion type defined on graphs, which can be derived as the limit of SPDEs on narrow planar channels. In the first part, we demonstrate that this limit can be achieved
Externí odkaz:
http://arxiv.org/abs/2403.13493
Autor:
Cerrai, Sandra, Debussche, Arnaud
We consider systems of damped wave equations with a state-dependent damping coefficient and perturbed by a Gaussian multiplicative noise. Initially, we investigate their well-posedness, under quite general conditions on the friction. Subsequently, we
Externí odkaz:
http://arxiv.org/abs/2312.08925
Autor:
Cerrai, Sandra, Xie, Mengzi
We investigate the convergence, in the small mass limit, of the stationary solutions of a class of stochastic damped wave equations, where the friction coefficient depends on the state and the noisy perturbation if of multiplicative type. We show tha
Externí odkaz:
http://arxiv.org/abs/2309.01549
Autor:
Cerrai, Sandra, Brzeźniak, Zdzislaw
We investigate the well-posedness of a class of stochastic second-order in time damped evolution equations in Hilbert spaces, subject to the constraint that the solution lie within the unitary sphere. Then, we focus on a specific example, the stochas
Externí odkaz:
http://arxiv.org/abs/2303.09717
Autor:
Cerrai, Sandra, Zhu, Yichun
In this paper, we consider a class of slow-fast systems of stochastic partial differential equations where the nonlinearity in the slow equation is not continuous and unbounded. We first provide conditions that ensure the existence of a martingale so
Externí odkaz:
http://arxiv.org/abs/2212.14552
We study a class of quasi-linear parabolic equations defined on a separable Hilbert space, depending on a small parameter in front of the second order term. Through the nonlinear semigroup associated with such equation, we introduce the corresponding
Externí odkaz:
http://arxiv.org/abs/2208.12867
Publikováno v:
IEEE Access, Vol 12, Pp 126285-126295 (2024)
Severe weather is a leading cause of electric distribution network failures and customer outages. Predictive modelling of customer outages can mitigate the economic and personal impact of adverse weather but is challenging due to the diverse causes a
Externí odkaz:
https://doaj.org/article/2f32d245ccd44b90aa0c8ac8093f7c3e
Autor:
Peter L. Watson, William Hughes, Diego Cerrai, Wei Zhang, Amvrossios Bagtzoglou, Emmanouil Anagnostou
Publikováno v:
IEEE Access, Vol 12, Pp 63568-63583 (2024)
The complex interactions between the weather, the environment, and electrical infrastructure that result in power outages are not fully understood, but because of the threat of climate change, the need for models that describe how these factors produ
Externí odkaz:
https://doaj.org/article/3fe9df1367634f2dbbf3efb87b821eef
Publikováno v:
IEEE Access, Vol 12, Pp 31824-31840 (2024)
This study aims to develop models for predicting hourly energy demand in the State of Connecticut, USA from 2011 to 2021 using machine learning algorithms inputted with airport weather stations’ data from the Automated Surface Observing System (ASO
Externí odkaz:
https://doaj.org/article/84da67d9fa834b3e9a82bd1d0bf74573