On stability for symmetric hyperbolic systems. I

DOI10.1016/0022-0396(81)90012-7zbMath0427.35012OpenAlexW4210692671MaRDI QIDQ1136933

Knut S. Eckhoff

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90012-7

zbMATH Keywords

ordinary differential equationstransport equationsstability propertiessymmetric hyperbolic systemsinstability of the trivial solutionprogressing wave expansion method

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Higher-order hyperbolic systems (35L55) First-order hyperbolic systems (35L40)

Related Items (18)

Instability criteria for steady flows of a perfect fluid ⋮ Dissipation-induced instabilities in magnetized flows ⋮ Local instabilities in magnetized rotational flows: a short-wavelength approach ⋮ Local stability conditions in fluid dynamics ⋮ On stability for symmetric hyperbolic systems. II ⋮ Short-wavelength local instabilities of a circular Couette flow with radial temperature gradient ⋮ The influence of magnetic field on short-wavelength instability of Riemann ellipsoids ⋮ A note on Rayleigh stability criterion for compressible flows ⋮ Vortices in rotating systems: Centrifugal, elliptic and hyperbolic type instabilities ⋮ On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid ⋮ Dispersion relation in the high frequency limit and non linear wave stability for hyperbolic dissipative systems ⋮ A note on the instability of columnar vortices ⋮ Short-wavelength instabilities of waves in rotating stratified fluids ⋮ Exact description of the spectrum of elliptical vortices in hydrodynamics and magnetohydrodynamics ⋮ A new class of instabilities of rotating fluids ⋮ Singularities of the Euler equation and hydrodynamic stability ⋮ A new class of instabilities of rotating flows ⋮ Instability criteria for the flow of an inviscid incompressible fluid

Cites Work

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• Exact and asymptotic solutions of the cauchy problem
• Stability of processes with respect to two metrics
• A note on the stability of steady inviscid helical gas flows
• On the stability of rotating compressible and inviscid fluids
• Uniform asymptotic expansions at a caustic

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