Open Access"On instability in the theory of dipolar bodies with two-temperatures"
Author(s) -
M. MARIN,
S. VLASE,
I. M. FUDULU,
G. PRECUP
Publication year - 2022
Publication title -
carpathian journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.812
H-Index - 25
eISSN - 1843-4401
pISSN - 1584-2851
DOI - 10.37193/cjm.2022.02.15
Subject(s) - uniqueness , thermal conduction , context (archaeology) , instability , boundary value problem , thermodynamics , dipole , mathematics , heat equation , mathematical analysis , physics , mechanics , geology , quantum mechanics , paleontology
"In this paper we approach a generalized thermoelasticity theory based on a heat conduction equation in bodies with dipolar structure, the heat conduction depends on two distinct temperatures, the thermodynamic temperature and the conductive temperature. In our considerations the difference between two temperatures is highlighted by the heat supply. For the mixed initial boundary value problem defined in this context, we prove the uniqueness of a solution corresponding some specific initial and boundary conditions. Also, if the initial energy is negative or null, we prove that the solutions of the mixed problem are exponentially unstable."