Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

This paper first uses the Banach fixed point theorem and operator semigroup theory to prove the existence and uniqueness of mild solutions for non-classical reaction diffusion equations with state ...

Source: ChatGPT modified by NostaLab. We’ve spent the last few years marveling at how AI tools seem to think, with me, for me, and even a curious cognitive construct that I've struggled to put my ...

Chris is a Senior News Writer for Collider. He can be found in an IMAX screen, with his eyes watering and his ears bleeding for his own pleasure. He joined the news team in 2022 and accidentally fell ...

Spending enough time observing kids on a playground reveals striking similarities to a primate troop—territorial disputes over jungle gyms, dominance games at the top of slides, and the swift, ...

Abstract: Traditional formulations of fuzzy differential equations do not reproduce the rich and varied behavior of crisp differential equations (DEs). A recent interpretation in terms of differential ...

In the realm of financial mathematics, differential equations play a pivotal role in modeling and solving problems related to various financial instruments and markets. These mathematical tools are ...