Mean-field equations are a cornerstone of the modern approach to studying turbulence, offering a framework to describe the average dynamics of complex, many-body systems. In fluid turbulence, these ...

The mathematical physics underpinning electromagnetic fields and wave equations provides a rigorous framework for understanding the behaviour of electric and magnetic phenomena in both classical and ...

SIAM Journal on Applied Mathematics, Vol. 75, No. 3 (2015), pp. 929-952 (24 pages) We present a new class of well-conditioned integral equations for the solution of two and three dimensional ...

Learn how to create slope fields and sketch the particular solution to a differential equation. Slope fields are tools used ...

What is a quantum field and how does it interact with matter? originally appeared on Quora: the place to gain and share knowledge, empowering people to learn from others and better understand the ...