On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary

By Feimin Huang, Akitaka Matsumura, Xiaoding Shi. 2004

75 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/852b1a63940b26d91cc4ee1c8781b44947522408

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. Jing Li
2. Zhouping Xin
3. Akitaka Matsumura
4. Feimin Huang
5. Tong Yang
6. Nader Masmoudi
7. Helge Holden
8. Xavier Raynaud

In Mathematical Physics

1. Zhouping Xin
2. Jing Li
3. Akitaka Matsumura
4. Feimin Huang
5. Tong Yang
6. Helge Holden
7. Xavier Raynaud
8. Yong Zhou

Citations in the corpus

• Contact discontinuity with general perturbations for gas motions (2008, methodology): “However, the problem of stability of contact discontinuities is more subtle and the progress has been less satisfactory, except the studies in [25], [27], [29], [40], [59].”
• Stability of Contact Discontinuities for the 1-D Compressible Navier-Stokes Equations (2006, background): “However, the problem of stability of contact discontinuities is more subtle and the progress has been less satisfactory, except the studies in [6], [7], [8], [15], [23].”
• Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier–Stokes System (2010, methodology): “However, this approach cannot be applied to the Cauchy problem case of (1) since the analysis in [3] depends crucially on a Poincaré-type inequality, which cannot be true for the Cauchy problem.”