ABSTRACT: This paper investigates a class of classical reaction-diffusion equations with a time-dependent memory kernel, where the nonlinear term satisfies a supercritical growth condition. Under a ...

Quantum mechanics and relativity are the two pillars of modern physics. However, for over a century, their treatment of space and time has remained fundamentally disconnected. Relativity unifies space ...

ABSTRACT: We propose a new section-averaged one-dimensional model for blood flows in deformable arteries. The model is derived from the three-dimensional Navier-Stokes equations, written in ...

An Amazon Web Services (AWS) logo pictured on Oct. 14, 2025. Reporter Major global outage impacts popular apps and websites, looking at the safety of the NFL, and more Length: Long Speed: 1.0x Several ...

Abstract: We study dynamical optimal transport of discrete time systems (dDOT) with Lagrangian cost. The problem is approached by combining optimal control and Kantorovich duality theory. Based on the ...

LONDON, Aug 13 (Reuters) - Manufacturers like U.S. lawnmower maker The Toro Company (TTC.N), opens new tab are not panicking at the prospect of U.S. President Donald Trump's global trade tariffs.

Some days, the classic turn-based game formulas just aren't cutting it. Time to consider strategic options is nice, but ample thinking time can miss out on the exciting tension of making split-second ...

What if owning a humanoid robot wasn’t just the domain of tech giants or research institutions, but something you could achieve for the price of a mid-range smartphone? It sounds like science fiction, ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...