𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability and Asymptotic Behavior of Periodic Traveling Wave Solutions of Viscous Conservation Laws in Several Dimensions

✍ Scribed by Myunghyun Oh; Kevin Zumbrun

Publisher
Springer
Year
2009
Tongue
English
Weight
278 KB
Volume
196
Category
Article
ISSN
0003-9527

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Asymptotic spatial homogeneity of soluti
Asymptotic spatial homogeneity of solutions to conservation laws with memory in several space dimensions
✍ Eduard Feireisl; Hana PetzeltovΓ‘ πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 257 KB πŸ‘ 2 views

## Communicated by K. Kirchga¨ssner We prove that any solution of the problem with spatially periodic initial data converges to a constant provided some non-degeneracy conditions on the kernel K and the non-linear functions a G , i"1, 2 , N are imposed.

Asymptotic Stability of Planar Rarefacti
Asymptotic Stability of Planar Rarefaction Waves for the Relaxation Approximation of Conservation Laws in Several Dimensions
✍ Tao Luo πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 539 KB

This paper concerns the large time behavior toward planar rarefaction waves of solutions for the relaxation approximation of conservation laws in several dimensions. It is shown that a planar rarefaction wave is nonlinear stable in the sense that it is an asymptotic attractor for the relaxation appr