Bibliographic record
Abstract
This paper examines the nonlinear dynamics of a Rossby wave propagating longitudinally in a north-south shear flow. The flow configuration is an idealized model for a western boundary current in an ocean basin. It is assumed that there is a critical layer in the flow, where the shear flow speed is the same as the wave phase speed. The nonlinear critical-layer evolution of the wave depends on the direction of propagation of the wave. Numerical simulations show that an eastwardpropagating wave incident on the critical layer from the west is absorbed by the mean flow at early times. This is the same situation that is known to occur for small-amplitude waves, according to the linear theory. At later times, however, nonlinear waves may be reflected from the critical layer. In contrast, a westwardpropagating wave incident on the critical layer from the east passes through largely unaffected. An approximate analytic solution of the linearized equations is also presented to give further insight into the evolution of the critical layer.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".