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math.AP2010
Whitham Averaged Equations and Modulational Stability of Periodic Traveling Waves of a Hyperbolic-Parabolic Balance Law
Blake Barker, Mathew A. Johnson, Pascal Noble +2
In this note, we report on recent findings concerning the spectral and nonlinear stability of periodic traveling wave solutions of hyperbolic-parabolic systems of balance laws, as…
math.AP2010★ 1 cited
Nonlinear stability of viscous roll waves
Mathew Johnson, Kevin Zumbrun, Pascal Noble
Extending results of Oh--Zumbrun and Johnson--Zumbrun for parabolic conservation laws, we show that spectral stability implies nonlinear stability for spatially periodic viscous ro…