{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006468944,0.001271833,0.001020677,0.001378457,0.001484366,0.001170014,0.0007441789,0.001608054,0.003316597],"category_scores_gemma":[0.005231365,0.0004960622,0.001146623,0.00050095,0.001650276,0.002093238,0.002068675,0.002285531,0.0002578097],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006985185,"about_ca_system_score_gemma":0.0004234333,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008786232,"about_ca_topic_score_gemma":0.0005396452,"domain_scores_codex":[0.999655,0.00005835719,0.00002835863,0.00005237484,0.0001265177,0.00007932664],"domain_scores_gemma":[0.9977782,0.001017711,0.000412719,0.0001375333,0.0003364342,0.0003173888],"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":[0.0008002049,0.0001702023,0.006686877,0.002175377,0.0003728638,0.007164902,0.002648372,0.2388342,0.2260467,0.4643094,0.004984416,0.04580653],"study_design_scores_gemma":[0.00003138628,0.0001388119,0.002211723,0.0001025453,0.0000613895,0.000891436,0.0002855526,0.883323,0.01581504,0.09481227,0.002246026,0.00008081882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5504472,0.006598814,0.4176472,0.001144284,0.0004156937,0.0002302063,0.0002654294,0.0006421429,0.022609],"genre_scores_gemma":[0.974678,0.001437835,0.01690244,0.0001044479,0.00009379045,0.00008958128,0.0002031095,0.00009442578,0.006396441],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003316597,"threshold_uncertainty_score":0.01109517,"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."}}