[图书][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 …
Stochastic convective Brinkman-Forchheimer equations
MT Mohan - arXiv preprint arXiv:2007.09376, 2020 - arxiv.org
The stochastic convective Brinkman-Forchheimer (SCBF) equations or the tamed Navier-
Stokes equations in bounded or periodic domains are considered in this work. We show the …
Stokes equations in bounded or periodic domains are considered in this work. We show the …
Stochastic Approach to Turbulence: A Comprehensive Review
A Poursina, A Pourjamal, A Bozorg - arXiv preprint arXiv:2211.12918, 2022 - arxiv.org
Since Kolmogorov's theory, turbulence has been studied using various methods, many of
which could be now be understood in a probabilistic framework. Herein, a comprehensive …
which could be now be understood in a probabilistic framework. Herein, a comprehensive …
Random Attractor, Invariant Measures, and Ergodicity of Lattice p-Laplacian Equations Driven by Superlinear Noise
P Chen, MM Freitas, X Zhang - The Journal of Geometric Analysis, 2023 - Springer
A highly nonlinear lattice p-Laplacian equation driven by superlinear noise is considered. By
using an appropriate stopping time technique and the dissipativeness of the nonlinear drift …
using an appropriate stopping time technique and the dissipativeness of the nonlinear drift …
Well-posedness and asymptotic behavior of stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise
MT Mohan - Stochastics and Partial Differential Equations: Analysis …, 2022 - Springer
This paper is concerned about stochastic convective Brinkman–Forchheimer (SCBF)
equations subjected to multiplicative pure jump noise in bounded or periodic domains. Our …
equations subjected to multiplicative pure jump noise in bounded or periodic domains. Our …
Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures
MT Mohan - Stochastic Analysis and Applications, 2020 - Taylor & Francis
In this work, we consider the two-dimensional viscoelastic fluid flow equations, arising from
the Oldroyd model for the non-Newtonian fluid flows. We investigate the well-posedness of …
the Oldroyd model for the non-Newtonian fluid flows. We investigate the well-posedness of …
[HTML][HTML] Well posedness, large deviations and ergodicity of the stochastic 2D Oldroyd model of order one
MT Mohan - Stochastic Processes and their Applications, 2020 - Elsevier
In this work, we establish the unique global solvability of the stochastic two dimensional
viscoelastic fluid flow equations, arising from the Oldroyd model for the non-Newtonian fluid …
viscoelastic fluid flow equations, arising from the Oldroyd model for the non-Newtonian fluid …
Large deviation principle for occupation measures of two dimensional stochastic convective Brinkman-Forchheimer equations
The present work is concerned with two-dimensional stochastic subcritical and critical
convective Brinkman-Forchheimer (2 D SCBF) equations perturbed by a white noise (non …
convective Brinkman-Forchheimer (2 D SCBF) equations perturbed by a white noise (non …
Bi-spatial random attractors, a stochastic Liouville type theorem and ergodicity for stochastic Navier-Stokes equations on the whole space
This article concerns the random dynamics and asymptotic analysis of the well known
mathematical model, the Navier-Stokes equations. We consider the two-dimensional …
mathematical model, the Navier-Stokes equations. We consider the two-dimensional …
Ergodicity for locally monotone stochastic evolution equations with L\'evy noise
We establish general conditions for stochastic evolution equations with locally monotone
drift and degenerate additive L\'evy noise in variational formulation resulting in the existence …
drift and degenerate additive L\'evy noise in variational formulation resulting in the existence …