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Cohomology in algebra, geometry, physicsand statistics
Shock waves in Euler flows of gases
Speaker’s name:
Mikhail Roop
Speaker’s affiliation:
Moscow State University
Place:
ZOOM Meeting
Date:
Wednesday, 6. May 2020 - 11:30 to 12:30
Abstract:
We study non-stationary 1-dimensional flows of gases described by a quasilinear system of differential equations including Euler equation and continuity equation. We show that equations in question essentially depend on thermodynamics of the medium. We represent the system by means of 2-forms on zero-jet space and get some exact solutions by means of such a representation. The solutions obtained are multivalued, we find caustics and shock wave front. The method can be applied to any thermodynamic state of the medium as well as to any thermodynamic process. The talk is based on our joint paper with Valentin Lychagin, arXiv:2004.05015.
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We start at 11:AM for coffee at ZOOM, Meeting Id: 947 7266 1762
Password: 098139
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We start at 11:AM for coffee at ZOOM, Meeting Id: 947 7266 1762
Password: 098139
https://cesnet.zoom.us/j/94772661762?pwd=ZEgrbVh2dVFKT01QMEJKdlRRck10Zz09