On hyperbolicity and Gevrey well-posedness. II: Scalar or degenerate transitions

DOI10.1016/j.jde.2018.01.011zbMath1383.35051arXiv1611.08184OpenAlexW2963096946MaRDI QIDQ683793

Baptiste Morisse

Publication date: 9 February 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08184

zbMATH Keywords

first-order quasi-linear systemslimiting Gevrey indexstrong Hadamard instabilitytransition from hyperbolicity to ellipticity

Mathematics Subject Classification ID

Systems of nonlinear first-order PDEs (35F50)

Related Items (5)

Dispersive stabilization for phase transitions ⋮ On hyperbolicity and Gevrey well-posedness. I: The elliptic case ⋮ On hyperbolicity and Gevrey well-posedness. II: Scalar or degenerate transitions ⋮ On hyperbolicity and Gevrey well-posedness. Part three: a model of weakly hyperbolic systems ⋮ Time-Delayed Instabilities in Complex Burgers Equations

Cites Work

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• Approximation of pseudo-differential flows
• A Stability Criterion for High-Frequency Oscillations
• Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
• Régularité du problème de Kelvin–Helmholtz pour l'équation d'Euler 2d

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