A Dive Into the Asymptotic Analysis Theory: a Short Review from Fluids to Financial Markets

G Sbaiz - Acta Mathematicae Applicatae Sinica, English Series, 2025 - Springer
The asymptotic analysis theory is a powerful mathematical tool employed in the study of
complex systems. By exploring the behavior of mathematical models in the limit as certain …

Fast rotation and inviscid limits for the SQG equation with general ill-prepared initial data

G Sbaiz, L Kosloff - Nonlinear Differential Equations and Applications …, 2024 - Springer
In the present paper, we study the fast rotation and inviscid limits for the 2-D dissipative
surface quasi-geostrophic equation with a dispersive forcing term, in the domain Ω= T 1× R …

[PDF][PDF] Heterogeneity and low regularity issues in PDEs arising from Fluid Mechanics

F Fanelli - 2023 - hal.science
Heterogeneity and low regularity issues in PDEs arising from Fluid Mechanics Page 1 HAL Id:
tel-04442860 https://hal.science/tel-04442860 Submitted on 6 Feb 2024 HAL is a multi-disciplinary …

Some stability and instability issues in the dynamics of highly rotating fluids

G Sbaiz - arXiv preprint arXiv:2205.11889, 2022 - arxiv.org
In the present thesis, we are interested in the description of the dynamics of flows on large
scales. In this context, the fluids are governed by rotational, weak compressibility and …

[引用][C] Asymptotic analysis, low Mach number limit: from compressible to incompressible system

A Wróblewska-Kaminska - Málaga, 2022