Seminário de Análise e Equações Diferenciais

An analysis of the 2-D isentropic Euler Equations for a generalized polytropic gas law

Sala 6.2.33, Ciências ULisboa (com transmissão via Zoom)

Por Wladimir Neves (Universidade Federal do Rio de Janeiro).

In this talk, we develop an analysis of the compressible, isentropic Euler equations in two spatial dimensions for a generalized polytropic gas law. The main focus is rotational flows in the subsonic regimes, described through the framework of the Euler equations expressed in self-similar variables and pseudo-velocities. A Bernoulli type equation is derived, serving as a cornerstone for establishing a self-similar system tailored to rotational flows. At the end, the study extends to an analysis of a perturbed model, introducing the concept of quasi-potential flows, offering insights into their behavior and implications.


Transmissão via Zoom.

13h30-14h30
CEMS.UL - Centro de Estudos Matemáticos