Gleb Grenkin, PhD PhD diss about radiation and heat conduction
The dance video demonstrates that the contest has no academic interest, and it's just misleading fake.
«Lectures which really teach will never be popular; lectures which are popular will never really teach.» (Michael Faraday)
The dance is about correspondence between words (real + virtual) and reality. Words may be related to light (radiation), and reality to matter. Energy trasformations: light → matter, matter → light. Information transforms from words to reality and vice versa, with imaginary (virtual) component. It's just some philosophy, but reality corresponds to that as the art of the video corresponds to real situations to some extent.
Seriously speaking as it possible, the PhD thesis is about energy transformations between matter and light. The energy of matter is expressed with the function of temperature, and the energy of light is expressed with the function of radiative intensity. These two functions are governed by two PDE (partial differential equations). The goal of my research was to answer several questions about this system and do some optimization of temperature and radiative intensity to achieve the desired ones by choice of boundary emissivity coefficient (blackness of some surface). The result of optimization will be black-white emissivity coefficient. The regularity conditions are obtained, it means that the optimization problem can be solved. Fixed-point theorems are applied to prove the existence of solution of the PDE system. The uniqueness of the solution is also studied. It is an important mathematical problem, which relates to properties of equations of mathematical physics. The existence and uniqueness assures that the system of PDEs correctly defines the solution which has a physical sense. It's useful not only for theoretical investigations, but also for computations. The result of asymptotic stability of steady states for the system of P1 radiation-conduction heat transfer was addressed in my previous dance, and the optimization algorithms were danced in 2016.
Diss:
Text:
Music:
"Dance PhD" by Gleb Grenkin
"Katyusha" by Matvey Blanter
Russian folk songs music: "Kalinka", "Black raven"
Previous dances:
2018 ..
2017 ..
2016 ..
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