New Subharmonic Solution of Quasilinear Elliptic Type Second Order PDEs of the Mathematical Physics with Minimum Principles for Irreversible Processes and Information Theory

Abstract

The new subharmonic solution of elliptic type second order quasilinear PDEs originate from irreversible heat conduction process of classical non‐equilibrium thermodynamics (CIT) with minimum principles for stationary state. These PDEs are very new members of the Mathematical Physics and do not pertain to the Classical M.P. According to their physical meaning they express the “internal irreversible process source” which is compatible with the minimum entropy production and the least dissipation of energy in case of non‐zero order stationarity (This also means the importance of minimum information loss according to Brillouin’s negentropy principle and the bit measure of the energy degradation too).Our theory of the subharmonic solution of elliptic type second order quasilinear PDEs is not only supported from the point of view of the physical meaning by its irreversible content but also from the mathematical point of view with many aspects in it. These aspects are: the maximum principles; the existence theor...