{"id":"W3023915060","doi":"10.1016/j.jmaa.2020.124200","title":"Uniformly bounded weak and classical solutions to a singular parabolic system and applications","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Bounded function; Mathematical analysis; Generalization; Homogeneous; Dirichlet boundary condition; Type (biology); Work (physics); Singular solution; Boundary (topology); Boundary value problem; Dirichlet problem; Parabolic partial differential equation; Dirichlet distribution; Partial differential equation; Combinatorics; Physics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002938318,0.0001412995,0.0004694165,0.000175576,0.0002121115,0.000178524,0.0002852224,0.0000529063,0.00000225969],"category_scores_gemma":[0.00009119794,0.0001124012,0.0001029218,0.0009600223,0.0000823907,0.0001939548,0.0001954885,0.0001723886,0.000007904551],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002613337,"about_ca_system_score_gemma":0.00002621353,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.955936e-7,"about_ca_topic_score_gemma":5.510624e-7,"domain_scores_codex":[0.9986858,0.00002251258,0.0005982077,0.0002554643,0.0002464384,0.0001915202],"domain_scores_gemma":[0.9986845,0.0002260489,0.0001830305,0.0002647264,0.0001413285,0.0005003526],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000001423459,0.00006375278,0.00001441398,0.0001448498,0.0001504066,9.812646e-7,0.000206379,0.001714886,0.0005189287,0.991317,0.00001574102,0.005851205],"study_design_scores_gemma":[0.0002129527,0.0000672476,0.0002077018,0.00006402932,0.0006353024,0.0001134838,0.000243914,0.8611206,0.00005737579,0.1335802,0.003485266,0.0002118978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00240496,0.0002831783,0.9930569,0.003682387,0.000003887836,0.0002603763,0.000003284863,0.00005465173,0.0002503527],"genre_scores_gemma":[0.5468844,0.00004813062,0.4526975,0.0001483895,0.0000989093,0.0000977352,6.782712e-7,0.000009830094,0.0000144081],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8594058,"threshold_uncertainty_score":0.4583588,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01910412228124965,"score_gpt":0.2537833152863099,"score_spread":0.2346791930050602,"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."}}