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 ...
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 ...
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