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      Spectral instability of quasinormal modes and strong cosmic censorship

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      Physical Review D
      American Physical Society (APS)

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          Hydrodynamic stability without eigenvalues.

          Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by linearizing the equations of flow and testing for unstable eigenvalues of the linearized problem, but the results of such investigations agree poorly in many cases with experiments. Nevertheless, linear effects play a central role in hydrodynamic instability. A reconciliation of these findings with the traditional analysis is presented based on the "pseudospectra" of the linearized problem, which imply that small perturbations to the smooth flow may be amplified by factors on the order of 10(5) by a linear mechanism even though all the eigenmodes decay monotonically. The methods suggested here apply also to other problems in the mathematical sciences that involve nonorthogonal eigenfunctions.
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            Quasinormal modes of black holes and black branes

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              Quasi-Normal Modes of Stars and Black Holes

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                Author and article information

                Contributors
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                Journal
                PRVDAQ
                Physical Review D
                Phys. Rev. D
                American Physical Society (APS)
                2470-0010
                2470-0029
                November 2023
                November 14 2023
                : 108
                : 10
                Article
                10.1103/PhysRevD.108.104027
                3a1d24d3-3422-49e1-8457-eaf2b78fc2a1
                © 2023

                https://link.aps.org/licenses/aps-default-license

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