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arXiv 1908.09316math-phmath.MP
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多孔介质中气体的非稳态绝热过滤

Non-stationary adiabatic filtration of gases in porous media

Anna Duyunova, Valentin Lychagin, Sergey Tychkov

摘要:

研究了多孔介质中气体的非定常等熵过滤问题。热力学方面的接触和辛几何简要讨论。给出了偏微分方程系统的对称性代数,并给出了关于可容许对称性的介质分类。找到了一类介质的解,并研究了该解的相变。关键词:气体过滤,多孔介质,对称代数,相

英文摘要:

A non-stationary isentropic filtration of gases in porous media is considered. Thermodynamics in terms of contact and symplectic geometries is briefly discussed. Algebra of symmetries for the PDE system is found, and the classification of media with respect to admissible symmetries is given. Solution for one class of media is found and the phase transitions for this solution are studied. Keywords: gas filtration, porous media, symmetry algebra, phase

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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