تقرير
Vanishing Mach Number Limit of Stochastic Compressible Flows
| العنوان: | Vanishing Mach Number Limit of Stochastic Compressible Flows |
|---|---|
| المؤلفون: | Chen, Gui-Qiang G., Zelati, Michele Coti, Yeung, Chin Ching |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Probability, Mathematical Physics, Mathematics - Analysis of PDEs, Physics - Fluid Dynamics, 35R60, 76N06, 37L40, 35B25 |
| الوصف: | We study the vanishing Mach number limit for the stochastic Navier-Stokes equations with $\gamma$-type pressure laws, with focus on the one-dimensional case. We prove that, if the stochastic term vanishes with respect to the Mach number sufficiently fast, the deviation from the incompressible state of the solutions (for $\gamma \geq 1$) and the invariant measures (for $\gamma = 1$) is governed by a linear stochastic acoustic system in the limit. In particular, the critically sufficient decay rate for the stochastic term is slower than the corresponding results with deterministic external forcing due to the martingale structure of the noise term, and the blow-up of the noise term for the fluctuation system can be allowed. Comment: 33 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.14660 |
| رقم الأكسشن: | edsarx.2311.14660 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |