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<p>In our study we approach some energy considerations in the theory of thermoelastic diffusion for Cosserat bodies. After defining the mixed problem in this context, that is, the motion equations, the initial values and the boundary conditions, we introduce the Cesaro means for different components of energy, attached to a solution to this problem. In our main result, we show that the strain energy becomes equal, in mean, to the kinetic energy, as <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(t\rightarrow \infty \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>t</mi> <mo stretchy="false">→</mo> <mi>∞</mi> </mrow> </math></EquationSource> </InlineEquation>, that is, we have an asymptotic partition, in mean, of the two important components of energy.</p>

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A study of energy in thermoelastic diffusion theory for Cosserat media

  • 期刊论文

  • 发表日期：

    2026年7月8日

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  • Stefan Pirlog,
  • Marin Marin,
  • Octavia Hapenciuc

摘要

In our study we approach some energy considerations in the theory of thermoelastic diffusion for Cosserat bodies. After defining the mixed problem in this context, that is, the motion equations, the initial values and the boundary conditions, we introduce the Cesaro means for different components of energy, attached to a solution to this problem. In our main result, we show that the strain energy becomes equal, in mean, to the kinetic energy, as \(t\rightarrow \infty \) t → ∞ , that is, we have an asymptotic partition, in mean, of the two important components of energy.