PHYSICAL PRINCIPLES IN MATHEMATICAL MODELLING

Title

PHYSICAL PRINCIPLES IN MATHEMATICAL MODELLING

Subject

Brownian Motion

Creator

Taemin Park

Date

2025

Contributor

Prof. Papavasiliou

Abstract

Stochastic differential equations (SDEs) and multiscale models are key tools in modern mathematical modelling. They enable us to accu- rately and efficiently analyse real world systems that exhibit randomness and behaviour across different scales of space and time. This review paper ex- plores the foundational physical principles behind them: Brownian motion, which serves as a cornerstone of stochastic analysis, and fluid mechanics, a prominent example of a multiscale system.

Files

Collection

Mathematics

Citation

Taemin Park, “PHYSICAL PRINCIPLES IN MATHEMATICAL MODELLING,” URSS SHOWCASE, accessed October 4, 2025, https://urss.warwick.ac.uk/items/show/795.