线性速度场平面气体崩溃

IF 0.4 Q4 MATHEMATICS, APPLIED

Trudy Instituta Matematiki i Mekhaniki UrO RAN Pub Date : 2023-06-01 DOI:10.21538/0134-4889-2023-29-2-207-216

Юлия Валерьевна Юлмухаметова

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引用次数: 0

摘要

本文考虑了具有线速度场的气体子模型。它由具有初始数据的非线性微分方程系统构成。得到了该系统的几个一等积分。结果，系统的阶数降低了。对于问题的特殊初始数据，得到了子模型微分方程的近似解。这样的解对应于描述涡旋气体粒子径向膨胀的世界线。构造了气体粒子的运动轨迹。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Плоский коллапс газа с линейным полем скоростей

In this paper we consider a submodel of the gas with a linear velocity field. It is formed by a system of nonlinear differential equations with initial data. Several first integrals of the system are obtained. As a result the order of the system is reduced. For special initial data of the problem, an approximate solution of differential equations of the submodel is obtained. Such solutions correspond to world lines describing the radial expansion of the gas particles from the vortex. Trajectories of motion of gas particles are constructed.

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来源期刊

Trudy Instituta Matematiki i Mekhaniki UrO RAN MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

20.00%

发文量