Singularities in PDE and the Calculus of Variations
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Variational problems arising in biology by E. R. Alvarez-Buylla, M. Benitez, A. Chaos, Y. Cortes, G. Escalera-Santos, C. Espinosa, and P. Padilla On the Cauchy problem for phase and vortices in the parabolic Ginzburg-Landau equation by F. Bethuel, G. Orlandi, and D. Smets Nonlocal Cahn-Hilliard and isoperimetric problems: Periodic phase separation induced by competing long- and short-range interactions by R. Choksi On a generalized Ginzburg-Landau energy for superconducting/normal composite materials by T. Giorgi and H. Jadallah Global questions for map evolution equations by M. Guan, S. Gustafson, K. Kang, and T.-P. Tsai Pohozaev-type identities for an elliptic equation by R. Ignat Some remarks on Monge-Ampere functions by R. L. Jerrard Variational versus pde-based approaches in mathematical image processing by B. Kawohl On the energy of a Chern-Simons-Higgs vortex lattice by M. Kurzke and D. Spirn Some recent results about a class of singularly perturbed elliptic equations by A. Malchiodi The dipole problem for $H^{1/2}(\mathbb{S}^2 \mathbb{S}^1)$-maps and application by V. Millot Hodge decompositions, $\Gamma$-convergence and the Gross-Pitaevskii energy by A. Montero Bifurcation of vortex solutions to a Ginzburg-Landau equation in an annulus by Y. Morita An Allen-Cahn type problem with curvature modification by X. Ren Rare events, action minimization, and sharp interface limits by M. G. Westdickenberg The Gauss-Green theorem for weakly differentiable vector fields by W. P. Ziemer.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| 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 it