Multidimensional Stability of Large-Amplitude Navier–Stokes Shocks

Author:

Humpherys Jeffrey,Lyng Gregory,Zumbrun KevinORCID

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference82 articles.

1. Alexander J., Gardner R., Jones C.: A topological invariant arising in the stability analysis of travelling waves. J. Reine Angew. Math., 410, 167–212 (1990)

2. Barker B.: Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow. J. Differ. Equ. 257(8), 2950–2983 (2014)

3. Barker B., Freistühler H., Zumbrun K.: Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability. Arch. Ration. Mech. Anal. 217(1), 309–372 (2015)

4. Barker, B., Humpherys, J., Lytle, J., Zumbrun, K.: STABLAB: A MATLAB-Based Numerical Library for Evans Function Computation, 2015. Available in the github repository, nonlinear-waves/stablab

5. Barker B., Humpherys J., Zumbrun K.: One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics. J. Differ. Equ. 249(9), 2175–2213 (2010)

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