Spectral Stability of Inviscid Roll Waves
نویسندگان
چکیده
منابع مشابه
Nonlinear Stability of Viscous Roll Waves
Extending results of Oh–Zumbrun and Johnson–Zumbrun for parabolic conservation laws, we show that spectral stability implies nonlinear stability for spatially periodic viscous roll wave solutions of the one-dimensional St. Venant equations for shallow water flow down an inclined ramp. The main new issues to be overcome are incomplete parabolicity and the nonconservative form of the equations, w...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2018
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-018-3277-7