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标准化场流：求解随机微分方程正反问题的物理机制场流模型方法
标准化场流 随机微分方程 物理机制场 流模型方法
2023/1/5
We introduce in this work the normalizing field flows (NFF) for learning random fields from scattered measurements. More precisely, we construct a bijective transformation (a normalizing flow characte...
This paper is concerned with the numerical solution of the Maxwell–Schrodinger system under the temporal gauge, which describes light–matter interactions. We first propose a semidiscrete finite elemen...
二维不可压缩欧拉方程多尺度定常涡补丁解
二维不可压缩 欧拉方程 多尺度 定常涡补丁解
2023/1/5
In this paper, we study the existence and qualitative properties of multiscale steady vortex patches for Euler equations in a 2D bounded domain. By considering certain maximization problems for the vo...
The Poisson–Nernst–Planck (PNP) equations describe the dynamics of charged particles in an electric field that is also affected by these particles and have been used to model physical systems involvin...
PM 2.5 污染扩散模型及适定性分析
偏微分方程理论 细颗粒物(PM2.5) 污染扩散规律 适定性
2022/3/25
为了更好地解决日益严重的空气污染问题，建立了三维PM2.5污染扩散模型.运用位势井理论和Garlerkin逼近法获得了PM2.5浓度的变化规律，并从理论上严格证明了PM2.5污染扩散模型解的适定性、爆破现象及渐进行为.研究结果表明，PM2.5遵循一定扩散规律.若PM2.5初始浓度的梯度取平方可积函数空间的范数时存在给定上、下界，则PM2.5浓度值将在有限范围内波动，不会变化太大.PM2.5浓度会随...
Algebraic equations on the adelic closure of a Drinfeld module
Algebraic equations adelic closure Drinfeld module
2011/1/19
Let k be a field of positive characteristic and K = k(V ) a function field of a variety V over k and let AK be a ring of ad´eles of K with respect to a cofinite set of the places on K correspond...