{"id":"W2962817781","doi":"10.1016/j.jde.2016.10.025","title":"Gradient bounds for a thin film epitaxy equation","year":2016,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":23,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Hong Kong Arts Development Council; Hong Kong Polytechnic University; National Natural Science Foundation of China; Hong Kong Baptist University","keywords":"Biharmonic equation; Mathematics; Dissipation; Diffusion; Mathematical analysis; Balanced flow; Nonlinear system; Flow (mathematics); Epitaxy; Geometry; Thermodynamics; Layer (electronics); Materials science; Physics; Nanotechnology; Boundary value problem; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001038402,0.001391841,0.001008947,0.001419173,0.0007838461,0.002085275,0.001269618,0.001812923,0.005118258],"category_scores_gemma":[0.004800114,0.0004087534,0.0005982777,0.0005651012,0.001817783,0.00283716,0.002252596,0.00317091,0.0004865978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001647446,"about_ca_system_score_gemma":0.00106059,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004916904,"about_ca_topic_score_gemma":0.003071356,"domain_scores_codex":[0.9997733,0.0000611857,0.00001025484,0.0000401431,0.0000783308,0.00003684223],"domain_scores_gemma":[0.9983069,0.0009132814,0.0001703354,0.00006013275,0.0003503733,0.0001989972],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009245746,0.00005018275,0.0004752961,0.0002041372,0.00004575911,0.0001881703,0.0001432814,0.05513196,0.008686321,0.921116,0.004791301,0.009075141],"study_design_scores_gemma":[0.00002000554,0.00002702849,0.0004952427,0.00003891223,0.00002514301,0.00008493597,0.00003651497,0.7831867,0.001402547,0.2109144,0.003735886,0.00003275026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08696465,0.009096236,0.7627361,0.01279109,0.001261356,0.0001380498,0.0005043936,0.0005028293,0.1260053],"genre_scores_gemma":[0.834714,0.005794784,0.06533101,0.00180756,0.001169895,0.0002286688,0.0004715892,0.0005488414,0.08993361],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005118258,"threshold_uncertainty_score":0.01712227,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03898454427705954,"score_gpt":0.2772406266597216,"score_spread":0.238256082382662,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}