The study of free boundary problems in the Navier-Stokes equations addresses the subtle interplay between the dynamics of viscous, incompressible fluids and the evolution of interfaces whose locations ...

The Navier-Stokes equations represent a cornerstone of fluid dynamics, providing a mathematical framework to describe the motion of viscous fluids. These nonlinear partial differential equations ...

The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous features of the physical world: the flow of fluids. The equations, which date to the 1820s, are today used to ...

2022 年标志着纳维尔-斯托克斯方程首次出现200周年，这是 Claude-Louis Navier 于 1822 年引入的流体动力学中的一个里程碑。该方程考虑了流体的粘性和摩擦力，彻底改变了人们对流体运动的理解，将其适用范围扩展到了理想流体之外。在本文中，我们探讨了 Navier ...

Turbulent times This visualization of fluid flow was made using laser-induced fluorescence. (Courtesy: C Fukushima and J Westerweel/Technical University of Delft/CC BY 3.0) The Navier–Stokes partial ...

郝田田，邵锋，韦东奕，章志飞摘要我们在非常一般的假设下构造了二维非匀质Navier-Stokes方程的一类全局强解，其中初始密度仅假设有界，初始速度属于。在对初始密度进行适当额外假设(包括密度斑块和真空气泡情形)后，我们证明了Lions弱解与具有相同 ...

We present two accurate and efficient algorithms for solving a group of fluid flow problems based on the Navier-Stokes Equations (NSEs). Both methods use a time-stepping approach with the ...

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As we celebrate the International Year of Quantum Science and Technology (IYQ) in 2025, we look back on a century of quantum mechanics—a field that has fundamentally changed the way we understand ...