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On Linear Instability of the State of Rest of an Incompressible Polymer Fluid in the Presence of Strong Discontinuity
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2020-06-08 , DOI: 10.1134/s0965542520040041 A. M. Blokhin , R. E. Semenko
中文翻译:
强不连续存在下不可压缩聚合物流体的剩余状态的线性不稳定性
更新日期:2020-06-08
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2020-06-08 , DOI: 10.1134/s0965542520040041 A. M. Blokhin , R. E. Semenko
Abstract
A linear problem of small perturbations of the flow of immiscible polymer fluids in a flat channel is formulated. For this problem, the existence of solutions unlimitedly increasing with time, the presence of which means linear instability of the state of rest of a polymer fluid with a strong discontinuity, is studied.
中文翻译:
强不连续存在下不可压缩聚合物流体的剩余状态的线性不稳定性
摘要
提出了线性问题,即在平坦通道中不混溶的聚合物流体的流动具有较小的扰动。对于这个问题,研究了溶液随时间无限增加的存在,溶液的存在意味着具有强不连续性的聚合物流体的其余状态的线性不稳定性。