Seminar talk, 16 March 2016

From Geometry of Differential Equations
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Speaker: Sergey Tychkov

Title: Symmetries of hydrodynamic equations and thermodynamics

The talk discusses two-dimensional hydrodynamics equations, the Euler equation and the Navier-Stokes equation. Using the symmetry algebra of these equation we study various classes of thermodynamic relations between density, pressure, temperature, and entropy that are invariant with respect to the symmetry action.