During the latter part of the 20th century, string theory was put forward as a unifying theory of physics foundations. String theory has not, however, fulfilled expectations. That is why we are of the ...

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 ...

(Phys.org) —A team of physicists, two from the U.S., and one each from Poland and Spain has used Maxwell's equations to describe field lines that encode all torus knots and links. As they describe in ...

Learn how to create slope fields and sketch the particular solution to a differential equation. Slope fields are tools used to graphically obtain the solutions to a differential equation. It is the ...

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 ...

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 ...