تقرير
Low Mach number limit of the global solution to the compressible Navier-Stokes system for large data in the critical Besov space
| العنوان: | Low Mach number limit of the global solution to the compressible Navier-Stokes system for large data in the critical Besov space |
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| المؤلفون: | Fujii, Mikihiro |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35Q35, 35B25, 76N10 |
| الوصف: | In this paper, we consider the compressible Navier--Stokes system around the constant equilibrium states and prove the unique existence of a global solution for arbitrarily large initial data in the scaling critical Besov space provided that the Mach number is sufficiently small and the incompressible part of the initial velocity generates the global solution of the incompressible Navier--Stokes equation. Moreover, we consider the low Mach number limit and show that the compressible solution converges to the solution of the incompressible Navier--Stokes equation in some space-time norms. Comment: 39 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2210.08743 |
| رقم الأكسشن: | edsarx.2210.08743 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |