Physics-informed neural networks (PINNs) often struggle to solve stiff partial differential equations (PDEs) with moving boundaries, such as convection-dominated droplet drying with shrinking domains ...

Researchers in Shanghai have developed a hybrid NMPC–LQR controller that lets two-wheeled self-balancing wheelchairs recover ...

Uncover the latest and most impactful research in Partial Differential Equations on Manifolds. Explore pioneering discoveries, insightful ideas and new methods from leading researchers in the field.

They found that different flow regimes strongly influence ice sheet deformations, producing localized patterns at lower flow speeds and wake-like patterns when speeds increase. These results suggest ...

A hybrid quantum–classical feedback protocol on a superconducting processor has revealed and stabilized regular trajectories ...

OpenAI’s trove of new math results doesn’t fully solve any of these highly prestigious open questions, but it seems to make ...

Zoroa. This blog post was initially written in a different file format and converted using AI. — T.] Euler formulated ...

Researchers demonstrate how amplified fluctuations from squeezed light enhance quantum sensing, leveraging multiphoton ...

This article explores new Quantum Encoding Strategies for fluid simulations, detailing both opportunities and challenges.

PT symmetry offers a novel approach to optical loss in waveguides, enabling precise control over light manipulation for ...

Despite these issues, experts say the results are jaw-dropping. The papers span mathematics, theoretical computer science, physics, and more. Some of the discoveries could have easily netted a human ...

Reducing molecular complexity to a practical formula, Kagan and Soai’s work connects medicines, probability, feedback and the ...