The Euler equations on a three-dimensional periodic domain have a family of shear flow steady states. We derive a formulation of the dynamics of the vorticity Fourier modes on a periodic domain and ...

This paper represents a generalization of the stability result on the Euler-Maruyama solution, which is established in the paper M. Milošević, Almost sure exponential stability of solutions to highly ...

Beijing Zhongke Journal Publising Co. Ltd. The results highlight the drag force's role as a stabilizer when sound speeds align, offering new mathematical ideas for turbulence control.

Transonic shock analysis occupies a central role in understanding fluid dynamics where flows transition between supersonic and subsonic regimes within Euler systems. In these scenarios, a shock ...