11 citations · 21 across the 6 of their papers we have counts for
9 papers · 1 filter
On Higher Order Structures in Thermodynamics
Valentin Lychagin, Mikhail Roop
We present the development of the approach to thermodynamics based on measurement. First of all, we recall that considering classical thermodynamics as a theory of measurement of e…
Shock Waves in Euler Flows of Gases
Valentin Lychagin, Mikhail Roop
Non-stationary Euler flows of gases are studied. The system of differential equations describing such flows can be represented by means of 2-forms on zero-jet space and we get some…
Schrödinger equations on elliptic curves: symmetries, solutions and eigenvalue problem
Valentin Lychagin, Mikhail Roop
In this paper, we study Schrödinger equations on elliptic curves called generalized Lamé equations. We suggest a method of finding integrable potentials for Schrödinger type equati…
Optimal Thermodynamic Processes For Gases
Alexei Kushner, Valentin Lychagin, Mikhail Roop
In this paper, we consider an optimal control problem in equilibrium thermodynamics of gases. Thermodynamic state of the gas is given by a Legendrian submanifold in a contact therm…
Critical phenomena and singular solutions in non-stationary filtration of real gases
Valentin Lychagin, Mikhail Roop
In this paper, we study non-stationary filtration of real gases in porous media. Thermodynamic state of the medium is given by van der Waals state equations. Solutions for non-stat…
Real gas flows issued from a source
Valentin Lychagin, Mikhail Roop
Stationary adiabatic flows of real gases issued from a source of given intensity are studied. Thermodynamic states of gases are described by Legendrian or Lagrangian manifolds. Sol…