CoChat
Sign Up
Cited by 2,610Fluid Dynamics and Turbulent FlowsRheology and Fluid Dynamics StudiesFluid dynamics and aerodynamics studies

Stability and Transition in Shear Flows

Schmid, Peter J., Henningson, Dan S.·2001·Applied Mathematical Sciences
DOI 10.1007/978-1-4613-0185-1
Open this paper in CoChat — free account

Integrity signals

Registry

Crossref · 10.1007/978-1-4613-0185-1

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • A non-normal linear operator, despite having stable eigenvalues, can give rise to a wave packet that interacts with the nonlinearity.

    “For example, studies in [11, 12] have shown that a non-normal linear operator, despite having stable eigenvalues, can give rise to a wave packet that interacts with the nonlinearity.”

    From A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity (2024) · cites this paper as [11]

Cited by

Sorted by citations

Authors
Schmid, P. J., & Henningson, D. S.
ORCID
Venue
Applied Mathematical Sciences
Publisher
Springer New York
Published
2001
ISSN
0066-5452 (ISSN-L)
DOI
10.1007/978-1-4613-0185-1
OpenAlex
W1587415653
Cited by
2,610
References
0
Citations by year
2026: 76 · 2025: 99 · 2024: 110 · 2023: 103 · 2022: 136 · 2021: 128 · 2020: 135 · 2019: 148 · 2018: 124 · 2017: 137 · 2016: 110 · 2015: 99 · 2014: 109 · 2013: 118 · 2012: 98
FWCI
20.33
Type
book
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)
Locations
  • Applied mathematical sciences (publishedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
  • Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Rheology and Fluid Dynamics Studies
  • Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
Keywords
shear flow stability, hydrodynamic stability, critical Reynolds number, Orr-Sommerfeld equation, linear stability analysis, transient growth, neutral stability curves, eigenvalue spectrum, Couette flow, pipe flow, wave packets, dispersion effects, vector modes, adjoint problem

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review