207 Publications (Page 2 of 9)
2016
Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layersZumbrun, Kevin2016-12-19.
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L infinity resolvent bounds for steady Boltzmann's equationZumbrun, Kevin2016-12-20.
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Numerical proof of stability of viscous shock profilesBarker, Blake⋅Barker, B.⋅Zumbrun, K. and Zumbrun, KevinMathematical Models and Methods in Applied Sciences, vol. 26, (no. 13), pp. 2469, 20161215.
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Periodic-Coefficient Damping Estimates, and Stability of Large-Amplitude Roll Waves in Inclined Thin Film FlowRodrigues, L. Miguel and Zumbrun, KevinSIAM Journal on Mathematical Analysis, vol. 48, (no. 1), pp. 280, 2016-01-00.
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Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion wavesJung, Soyeun and Zumbrun, Kevin2016-05-04.
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Pointwise nonlinear stability of nonlocalized modulated periodic reaction–diffusion wavesJung, Soyeun and Zumbrun, KevinJournal of Differential Equations, vol. 261, (no. 7), pp. 3963, 2016-10-05.
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Stable manifolds for a class of degenerate evolution equations and exponential decay of kinetic shocksPogan, Alin and Zumbrun, Kevin2016-07-11.
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2015
Convex Entropy, Hopf Bifurcation, and Viscous and Inviscid Shock StabilityBarker, Blake⋅Barker, B.⋅Freistühler, Heinrich⋅Freistühler, H.⋅Zumbrun, K. and Zumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 217, (no. 1), pp. 372, 20150700.
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Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and VasseurTexier, Benjamin and Zumbrun, KevinProceedings of the American Mathematical Society, vol. 143, (no. 2), pp. 754, February 1, 2015.
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High-Frequency Stability of Detonations and Turning Points at InfinityLafitte, Olivier⋅Williams, Mark and Zumbrun, KevinSIAM Journal on Mathematical Analysis, vol. 47, (no. 3), pp. 1878, 2015-01-00.
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Note on the stability of viscous roll-wavesBarker, Blake⋅Barker, Blake⋅Johnson, Mathew A⋅Johnson, Mathew A⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L. Miguel⋅Rodrigues, L. Miguel⋅Zumbrun, Kevin and Zumbrun, Kevin2015-10-05.
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O(2) Hopf bifurcation of viscous shock waves in a channelPogan, Alin⋅Yao, Jinghua and Zumbrun, KevinPhysica D: Nonlinear Phenomena, vol. 308, pp. 79, 2015-07-15.
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Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flowRodrigues, Luis Miguel and Zumbrun, Kevin2015-04-09.
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Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limitJohnson, Mathew A⋅Johnson, Mathew A⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, Luis Miguel⋅Rodrigues, Luis Miguel⋅Zumbrun, Kevin and Zumbrun, KevinTransactions of the American Mathematical Society, vol. 367, pp. 2135, 2015.
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Stability of Viscous Weak Detonation Waves for Majda’s ModelHendricks, Jeffrey⋅Humpherys, Jeffrey⋅Lyng, Gregory and Zumbrun, KevinJournal of Dynamics and Differential Equations, vol. 27, (no. 2), pp. 260, 20150600.
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Viscous Hyperstabilization of Detonation Waves in One Space DimensionBarker, Blake⋅Barker, B.⋅Humpherys, J.⋅Humpherys, Jeffrey⋅Lyng, Gregory⋅Lyng, G.⋅Zumbrun, K. and Zumbrun, KevinSIAM Journal on Applied Mathematics, vol. 75, (no. 3), pp. 906, 2015-01-00.
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2014
Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbationsJohnson, Mathew⋅Johnson, Mathew⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L⋅Rodrigues, L⋅Zumbrun, Kevin and Zumbrun, KevinInventiones mathematicae, vol. 197, (no. 1), pp. 213, 20140700.
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Nonlinear stability of source defects in the complex Ginzburg–Landau equationBeck, Margaret⋅Beck, Margaret⋅Nguyen, Toan T⋅Nguyen, Toan T⋅Sandstede, Björn⋅Sandstede, Björn⋅Zumbrun, Kevin and Zumbrun, KevinNonlinearity, vol. 27, (no. 4), pp. 786, 2014-04-01.
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O(2) Hopf bifurcation of viscous shock waves in a channelPogan, Alin⋅Yao, Jinghua and Zumbrun, Kevin2014-01-09.
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Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditionsGuès, Olivier⋅Metivier, Guy⋅Williams, Mark and Zumbrun, KevinAnnales Scientifiques de l'École Normale Supérieure, (no. 47), 2014.
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2013
Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and VasseurTexier, Benjamin and Zumbrun, Kevin2013-05-18.
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High-frequency stability of multidimensional ZND detonationsLafitte, Olivier⋅Williams, Mark and Zumbrun, Kevin2013-12-24.
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Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equationBarker, Blake⋅Barker, Blake⋅Barker, B.⋅Johnson, Mathew A⋅Johnson, Mathew A⋅Johnson, M.A.⋅Noble, P.⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L. Miguel⋅Rodrigues, L. Miguel⋅Rodrigues, L.M.⋅Zumbrun, K.⋅Zumbrun, Kevin and Zumbrun, KevinPhysica D: Nonlinear Phenomena, vol. 258, pp. 46, 2013-09-01.
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Nonlocalized Modulation of Periodic Reaction Diffusion Waves: Nonlinear StabilityJohnson, Mathew⋅Johnson, Mathew⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L⋅Rodrigues, L⋅Zumbrun, Kevin and Zumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 207, (no. 2), pp. 715, 20130200.
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Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equationJohnson, Mathew⋅Johnson, Mathew⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L⋅Rodrigues, L⋅Zumbrun, Kevin and Zumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 207, (no. 2), pp. 692, 20130200.
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