Traditional approaches, such as solving Winslow equations, rely on numerical solutions of partial differential equations ... Skoltech AI Center. "The next step will be to generalize the results ...

Researchers model a non-ideal magnetic gas filled with tiny dust particles to find how shockwaves travel through them.

Traditional approaches, such as solving Winslow equations, rely on numerical solutions of partial differential equations and do ... Laboratory at the Skoltech AI Center. "The next step will be to ...

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Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest ...

Mathematicians have solved a longstanding algebra problem, providing a general solution for higher-order polynomial equations. | Credit: fbatista72 via Getty Images Polynomial equations are a ...

A polynomial is a type of algebraic equation that involves variables raised to a non-negative power — for example, x² + 5x + ...

Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers. The origins and applications of such equations occur in a variety of ...

We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

The study of measure-valued processes in random environments has seen some intensive research activities in recent years whereby interesting nonlinear stochastic partial differential equations (SPDEs) ...