A Global Existence Result for the Compressible Navier–Stokes Equations in the Critical Lp Framework

By Frédéric Charve, Raphaël Danchin. 2010

227 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b3938a6c6b70a87a6da17d6d0e959055e68fd461

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Changxing Miao
2. Boris Haspot
3. Qionglei Chen
4. Zhifei Zhang
5. Jiahong Wu
6. Zhen Lei
7. Sadek Gala
8. Taoufik Hmidi

In Computational Mechanics

1. Changxing Miao
2. Zhifei Zhang
3. Boris Haspot
4. Qionglei Chen

In Mathematical Physics

1. Changxing Miao
2. Qionglei Chen
3. Zhifei Zhang
4. Boris Haspot
5. Jiahong Wu
6. Zhen Lei
7. Sadek Gala
8. Taoufik Hmidi

Citations in the corpus

• ON THE ILL-POSEDNESS OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS (2011, background): “ave the same scaling with the largest critical space. Remark 1.2. Theorem 1.2 implies that it seems impossible to generate a global solution to (1.2) for the highly oscillating initial velocity as in [3, 5]. The question whether the system (1.3)(or (1.2)) is well-posed in the critical Besov Space wi”
• Existence of Global Strong Solutions in Critical Spaces for Barotropic Viscous Fluids (2010, methodology): “So as in [7,11], the system has to be handled differently in low and high frequencies.”