Explicit Ehrenpreis–Palamodov–Fokas Representations for the Sobolev–Barenblatt Model and the Rubinshtein–Aifantis System on Semi-Strips and Quarter-Planes
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Bibliographic record
Abstract
Abstract Explicit integral representations consistent with the fundamental Ehrenpreis–Palamodov principle are herein constructed for the novel solution formulae, recently obtained in closed form via rigorous implementation of the Fokas unified transform method, for the Sobolev–Barenblatt pseudo-parabolic model of seepage in porous media and for the Rubinshtein–Aifantis double-diffusion system formulated on semi-bounded domains.
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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 | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 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)
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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 it