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 ...

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 ...

Fluid–structure interaction (FSI) encompasses the interdisciplinary study of fluid dynamics coupled with structural mechanics, where the mutually interactive behaviour of a viscous fluid and an ...

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 ...

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 ...

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 ...

Several University of Texas at Austin mathematics faculty, including an incoming assistant professor, have seen their work spotlighted in the science publication Quanta in recent weeks. Distinct in 3D ...

For almost any natural problem you can think of, the latter is good enough. Years of tinkering have produced versions of the Navier-Stokes equations capable of describing the dynamics of different ...