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Stochastic dynamics on evolving geometric graphs
Alexei Daletskii, Dmitri Finkelshtein
https://arxiv.org/abs/2509.25427 https://arxiv.org/pdf/2509.25427

Stochastic dynamics on evolving geometric graphs
We consider an infinite locally finite system (configuration) $γ$ of particles distributed over a Euclidean space $X$. Each particle located at $x\in X$ carries an internal parameter (mark, or ``spin'') $σ_{x}\in S=\mathbb{R}.$ Such collections of particles form the space of marked configurations $Γ(X,S)$. We construct the following stochastic dynamics in $Γ(X,S)$: while the configuration $γ$ of particle positions performs a random evolution, the corresponding marks interact with each othe…

A viscosity solution approach to the large deviation principle for stochastic convective Brinkman-Forchheimer equations
Sagar Gautam, Manil T. Mohan
https://arxiv.org/abs/2510.01166

A viscosity solution approach to the large deviation principle for stochastic convective Brinkman-Forchheimer equations
This article develops the viscosity solution approach to the large deviation principle for the following two- and three-dimensional stochastic convective Brinkman-Forchheimer equations on the torus $\mathbb{T}^d,\ d\in\{2,3\}$ with small noise intensity: \begin{align*} \mathrm{d}\boldsymbol{u}_n+[-μΔ\boldsymbol{u}_n+ (\boldsymbol{u}_n\cdot\nabla)\boldsymbol{u}_n +α\boldsymbol{u}_n+β|\boldsymbol{u}_n|^{r-1}\boldsymbol{u}_n+\nabla p_n]\mathrm{d} t=\boldsymbol{f}\mathrm{d} t+\fra…

Validation of a Reynolds-averaged numerical simulation environment to simulate high-pressure, auto-igniting hydrogen diffusion flames
N. Diepstraten, L. M. T. Somers, J. A. van Oijen
https://arxiv.org/abs/2509.18841