发表机构
University of Kansas（堪萨斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究可压缩欧拉方程径向稀疏流的多维扰动，不假设背景场小性，推导出扰动解的经典寿命和稳定时间跨度的下界，该下界随扰动趋零而趋于无穷，且因稀疏性质而显著长于一般背景情形。
AI 中文摘要
本文研究了可压缩欧拉方程径向对称稀疏流的多维扰动。我们不施加背景场小性的假设。我们推导了扰动解的经典寿命和稳定时间跨度的下界。这些下界被证明随着扰动大小趋近于零而趋于无穷大。此外，由于背景场的稀疏性质，所得估计被证明显著长于具有有界一阶导数的经典背景场对应的估计。
英文摘要
In this paper, we study multidimensional perturbations of radially symmetric rarefactive flows for the compressible Euler equations. No assumptions on the smallness of the background are imposed. We derive lower bounds on both the classical lifespan and stability timespan of the perturbed solution. These lower bounds are demonstrated to tend to infinity as the size of the perturbation approaches zero. Furthermore, owing to the rarefactive nature of the background, the resulting estimate is shown to be substantially longer than the corresponding estimate for a general classical background with bounded first derivatives.
