Improving geothermal HVAC systems with mathematics

Extreme weather events, water shortages, and other consequences of climate change have challenged—and compromised—energy infrastructure around the world. Increased energy consumption is threatening the longevity of a ...

Can social interactions affect spread of disease?

Most real-world systems, such as biological, social, and economic schemes evolve constantly. The dynamics of such systems are characterized by significantly enhanced activity levels over short periods of time (or "bursts") ...

Using mathematical approaches to optimally manage public debt

While most countries around the world rely on debt to finance their government and economy, keeping this debt under control is a financial imperative. Large government debt negatively impacts long-term economic growth. Increase ...

A model for autoignition in turbulent jets

Jets are rapid streams of liquids or gases that forcefully shoot into a surrounding medium. When ignitable substances are involved, combustion—rapid chemical reactions that result in heat and light—can occur. Combustion ...

Mathematically modeling HIV drug pharmacodynamics

37 million people around the world today live with Human Immunodeficiency Virus (HIV), which is responsible for roughly 1.1 million deaths caused by AIDS-related conditions.

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