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Parabolic phase-lag heat conduction theories revisited
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2022-06-18 , DOI: 10.1016/j.aml.2022.108264 Alain Miranville , Ramón Quintanilla
中文翻译:
抛物线相位滞后热传导理论重新审视
更新日期:2022-06-18
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2022-06-18 , DOI: 10.1016/j.aml.2022.108264 Alain Miranville , Ramón Quintanilla
In this note we show that, under certain conditions on the coefficients, the solutions of the parabolic phase-lag heat conduction models are determined by an analytic semigroup for which the inner product determines the -norm of the temperature. As a consequence the -norm of the temperature decays in an exponential way.
中文翻译:
抛物线相位滞后热传导理论重新审视
在本说明中,我们表明,在系数的某些条件下,抛物线相位滞后热传导模型的解由解析半群确定,其内积决定了 - 温度标准。因此, - 温度范数以指数方式衰减。