实际气体非定常渗流中的临界现象和奇异解
Critical phenomena and singular solutions in non-stationary filtration of real gases
摘要：
本文研究了实际气体在多孔介质中的非平稳渗流问题。介质的热力学状态由范德华状态方程给出。利用有限维动力学方法得到了非定常渗流方程的解。分析了在等熵和等焓过程中沿流动方向的相变，并讨论了所得解的奇异性。域中的喷气空间的动力学发现是一个吸引子。
英文摘要：
In this paper, we study non-stationary filtration of real gases in porous media. Thermodynamic state of the medium is given by van der Waals state equations. Solutions for non-stationary filtration equation are obtained by means of finite dimensional dynamics. The analysis of phase transitions along the flow in case of isentropic and isenthalpic processes is presented as well as singular properties of solutions obtained are discussed. Domains in the jet space where the dynamics found is an attractor are shown.
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