43 citations · 59 across the 2 of their papers we have counts for
2 papers
math.AP2008★ 16 cited
Stability and asymptotic behavior of periodic traveling wave solutions of viscous conservation laws in several dimensions
Myunghyun Oh, Kevin Zumbrun
Under natural spectral stability assumptions motivated by previous investigations of the associated spectral stability problem, we determine sharp estimates on the linearized…
math.AP2002★ 43 cited
Stability of periodic solutions of conservation laws with viscosity: Analysis of the Evans function
Myunghyun Oh, Kevin Zumbrun
We establish instability of periodic traveling waves arising in conservation laws featuring phase transition. The analysis uses the Evans function framework introduced by R.A. Gard…