当前位置: X-MOL 学术Commun. Math. Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Navier–Stokes–Fourier System with General Boundary Conditions
Communications in Mathematical Physics ( IF 2.2 ) Pub Date : 2021-04-22 , DOI: 10.1007/s00220-021-04091-1
Eduard Feireisl , Antonín Novotný

We consider the Navier–Stokes–Fourier system in a bounded domain \(\Omega \subset R^d\), \(d=2,3\), with physically realistic in/out flow boundary conditions. We develop a new concept of weak solutions satisfying a general form of relative energy inequality. The weak solutions exist globally in time for any finite energy initial data and comply with the weak–strong uniqueness principle.



中文翻译:

具有一般边界条件的Navier–Stokes–Fourier系统

我们考虑在有界内/外流边界条件的有界域\(\ Omega \ subset R ^ d \)\(d = 2,3 \)中的Navier–Stokes–Fourier系统。我们提出了满足一般形式的相对能量不等式的弱解的新概念。对于任何有限的能量初始数据,弱解都会在全球范围内及时存在,并符合弱强关联的唯一性原则。

更新日期:2021-04-22
down
wechat
bug