Galloping instability of viscous shock waves
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Publication:942724
DOI10.1016/j.physd.2008.03.008zbMath1143.76439arXivmath/0609331OpenAlexW2006440384MaRDI QIDQ942724
Benjamin Texier, Kevin Zumbrun
Publication date: 5 September 2008
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0609331
PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Interfacial stability and instability in hydrodynamic stability (76E17)
Related Items (27)
Recent Results on Stability of Planar Detonations ⋮ Discontinuous traveling waves for scalar hyperbolic-parabolic balance law ⋮ \(O(2)\) Hopf bifurcation of viscous shock waves in a channel ⋮ Pointwise Green function bounds and stability of combustion waves ⋮ Saddle-node bifurcation of viscous profiles ⋮ Multidimensional stability of large-amplitude Navier-Stokes shocks ⋮ Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations ⋮ Growing patterns ⋮ Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions ⋮ Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability ⋮ Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves ⋮ Efficient numerical stability analysis of detonation waves in ZND ⋮ Stability of nonlinear waves: pointwise estimates ⋮ Transverse steady bifurcation of viscous shock solutions of a system of parabolic conservation laws in a strip ⋮ The refined inviscid stability condition and cellular instability of viscous shock waves ⋮ Nonlinear stability of time-periodic viscous shocks ⋮ Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD ⋮ Stability of detonation profiles in the ZND limit ⋮ Nash-Moser iteration and singular perturbations ⋮ Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD ⋮ Stability of undercompressive viscous shock profiles of hyperbolic-parabolic systems ⋮ Stability of viscous shocks in isentropic gas dynamics ⋮ Stability of hydraulic shock profiles ⋮ Conditional stability of unstable viscous shocks ⋮ Transverse bifurcation of viscous slow MHD shocks ⋮ Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability ⋮ Hopf bifurcation from fronts in the Cahn-Hilliard equation
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