# LEAPS-MPS: Invariant Solutions in Strongly Nonlinear Thermal Convection: A New Approach to Asymptotic Transport

> **NSF 01002526DB NSF RESEARCH & RELATED ACTIVIT** · New York Institute of Technology (NY) · $249,955

## Abstract

Understanding how heat and momentum are transported in thermally driven fluids under extreme conditions is a longstanding scientific challenge with profound implications for geophysical and astrophysical systems, such as deep ocean currents and solar convection. This project investigates fluid behavior in the situation of very strong thermal forcing—where traditional simulations and experiments fail—by focusing on exact solutions of the governing equations. Rather than relying on chaotic, turbulent states, the research centers on identifying and analyzing special, dynamically unstable flow patterns known as invariant solutions. These solutions provide a window into the fundamental physics of convection and a path toward deriving the true asymptotic laws that govern heat transport in extreme conditions. The project promotes the progress of science by advancing fundamental understanding of planetary and solar system dynamics. The project also enhances undergraduate engagement in advanced scientific research at a primarily undergraduate institution and contributes to workforce development in computational science. In addition, a structured outreach plan—featuring undergraduate mentoring, research-based coursework, and public engagement through NYIT's Annual Math Day will connect students from regional colleges and high schools through shared research experiences. 

The project aims to uncover the asymptotic heat transport behavior of steady-state convective flows governed by 

## Key facts

- **NSF award ID:** 2532634
- **Awardee organization:** New York Institute of Technology (NY)
- **SAM.gov UEI:** SVZSJHR2A4T6
- **PI:** Baole Wen
- **Primary program:** 01002526DB NSF RESEARCH & RELATED ACTIVIT
- **All programs:** COMPUTATIONAL SCIENCE & ENGING
- **Estimated total:** $249,955
- **Funds obligated:** $249,955
- **Transaction type:** Standard Grant
- **Period:** 09/01/2025 → 08/31/2027

## Primary source

NSF Award Search: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2532634

## Citation

> US National Science Foundation, Award 2532634, LEAPS-MPS: Invariant Solutions in Strongly Nonlinear Thermal Convection: A New Approach to Asymptotic Transport. Retrieved via AI Analytics 2026-06-07 from https://api.ai-analytics.org/grant/nsf/2532634. Licensed CC0.

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