Is artificial intelligence replacing human genius in mathematics, or redefining it? From the Navier-Stokes mystery to ...

After the work of Navier, the Navier-Stokes equation was re-obtained by different arguments by numerous investigators. We have chosen to revisit the approaches of Navier not only because they were ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...

It would be ncie to show some HPC/computational applications using WoT. We wish to show the time evolution of fluid flow using Navier-Stokes equation. There are multiple examples that could be made, ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Abstract: This article proposes the MQHSS-Uzawa iterative method to solve the Navier-Stokes equation based on the MQHSS method and the Uzawa algorithm, and obtains and proves the convergence theorem ...

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INDIA: Fluid dynamics, a field crucial to understanding various natural phenomena and industrial processes, has long been plagued by a perplexing enigma known as the Navier-Stokes existence and ...

Abstract: A novel algorithm for the topology optimization problem in fluid dynamics is presented, with the Navier-Stokes equations as state constraints, and the objective is to minimize the dissipated ...