Kinetic theory provides a vital framework for bridging the microscopic motion of individual particles and the macroscopic properties observed in gases and fluids. Central to this field is the ...

Stability theory occupies a central role in the analysis of differential equations and wave equations, serving as the cornerstone for understanding the long‐term behaviour of dynamical systems. At its ...

The genus-1 Kadomtsev–Petviashvili (KP)-Whitham system is derived for both variants of the KP equation; namely the KPI and KPII equations. The basic properties of the KP-Whitham system, including ...

Albert Einstein's (1879 to 1955) contribution to 20th-century physics cannot be understated. His general theory of relativity, or general relativity, is still our best understanding of the force of ...

Researchers at the University of Illinois Urbana-Champaign have developed a new theoretical framework that could dramatically reduce the cost and complexity of predicting chemical reaction energetics ...

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A new theory of humor addresses questions of human attraction to errors and our susceptibility to ideas we know are bad for us, and summarizes it with an equation. The new theory suggests an equation ...