Positivity of temperature for some non-isothermal fluid models

نویسندگان

چکیده

We establish three partial differential equation models describing the thermodynamic behavior of a fluid by combining energetic variational approach, appropriate constitutive relations, and classical laws. By using an explicit algebraic we show maximum/minimum principle for some auxiliary variables involving absolute temperature ? density ? under special conditions, which then yields positivity temperature. This important fact implies consistency our models.

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2022

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2022.08.025