Ill-posedness of the Kelvin-Helmholtz problem for compressible Euler fluids

التفاصيل البيبلوغرافية
العنوان: Ill-posedness of the Kelvin-Helmholtz problem for compressible Euler fluids
المؤلفون: Xie, Binqiang, Zhao, Bin
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, 14J60(primary), F.2.2
الوصف: In this paper, when the magnitude of the Mach number is strictly between some fixed small enough constant and $\sqrt{2}$, we can prove the linear and nonlinear ill-posedness of the Kelvin-Helmholtz problem for compressible ideal fluids. To our best knowledge, this is the first reslult that proves the nonlinear ill-posedness to the Kelvin-Helmholtz problem for the compressible Euler fluids.
Comment: 27pages. arXiv admin note: text overlap with arXiv:0911.4098 by other authors
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.01938
رقم الأكسشن: edsarx.2407.01938
قاعدة البيانات: arXiv