Compressible fluid dynamics is a branch of fluid mechanics ... the development of analytical solutions to the compressible Euler equations, which describe the motion of compressible fluids.

The Euler and Navier-Stokes equations are the cornerstone of fluid dynamics. Our research focuses on the evolution and stability of vortex structures, such as laments and sheets, which arise in ...

Among Alejandro’s research interests are the long-time behavior of special classes of solutions to nonlinear PDE’s from fluid dynamics. For example, stagnation-point form solutions of the Euler and ...

Additionally, the study of the stabilizing effects of rotation in the 3D Euler equations has revealed ... of rotation in maintaining stability in fluid dynamics[3]. Furthermore, the construction ...

with a focus on moving-boundary problems in fluid dynamics. He has made contributions to the theory of the Euler and Navier-Stokes equations (including in settings with a free boundary), dispersive ...