{"id":"W2037327842","doi":"10.4236/am.2012.34049","title":"Blow-Up Phenomena for a Class of Parabolic Systems with Time Dependent Coefficients","year":2012,"lang":"en","type":"article","venue":"Applied Mathematics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval; Center for Northern Studies","funders":"","keywords":"Class (philosophy); Nonlinear system; Mathematics; Mathematical analysis; Parabolic partial differential equation; Upper and lower bounds; Applied mathematics; Physics; Computer science; Partial differential equation","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004948531,0.0002617595,0.0005926577,0.00009693281,0.00009306795,0.00003400033,0.0002469571,0.0001072749,0.0000826186],"category_scores_gemma":[0.0001230174,0.0002070762,0.00008222699,0.0001867781,0.00008000533,0.00006485466,0.00006679852,0.00009754192,0.0001594629],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005313198,"about_ca_system_score_gemma":0.00004905928,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004439767,"about_ca_topic_score_gemma":0.000004060446,"domain_scores_codex":[0.9981488,0.00002231991,0.0006592209,0.0001939339,0.000484335,0.0004913765],"domain_scores_gemma":[0.997996,0.0006780609,0.0004740164,0.0005545854,0.0001426891,0.0001546301],"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":[0.00008546033,0.002309819,0.00002555061,0.00189926,0.0003232368,2.961839e-7,0.004231962,0.0001778224,0.01523609,0.9741876,0.0007625085,0.0007604613],"study_design_scores_gemma":[0.02715322,0.001658562,0.0001283879,0.002186475,0.007355051,0.0001186453,0.01248858,0.4457408,0.1862746,0.2975241,0.01355777,0.005813758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3416847,0.00005426937,0.6477194,0.00001753322,0.0002411906,0.002837181,0.0001406138,0.000166097,0.007139051],"genre_scores_gemma":[0.9300397,0.000002181376,0.06812796,0.00001447739,0.0002511243,0.0004661536,0.00003543827,0.0001023928,0.0009605642],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6766635,"threshold_uncertainty_score":0.8444324,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04398090262020034,"score_gpt":0.2956278193927852,"score_spread":0.2516469167725848,"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."}}