{"id":"W2084349952","doi":"10.3934/dcds.2002.8.757","title":"Existence and long time behaviour of solutions to obstacle thermistor equations","year":2002,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Obstacle; Thermistor; Boundary (topology); Attractor; Mathematics; Omega; Mathematical analysis; Obstacle problem; Series (stratigraphy); State space; Boundary value problem; Applied mathematics; Physics; Statistics","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":[0.0005793331,0.0003583188,0.0003363441,0.0005757633,0.0006190924,0.001077658,0.0005275551,0.001000036,0.00189344],"category_scores_gemma":[0.003770773,0.000323587,0.0002419402,0.0002345751,0.001298608,0.001450536,0.001044402,0.0009034585,0.0002007065],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004973896,"about_ca_system_score_gemma":0.0003976843,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006144415,"about_ca_topic_score_gemma":0.0003916284,"domain_scores_codex":[0.9998202,0.0000445369,0.000009078006,0.00002967409,0.00005876366,0.00003780761],"domain_scores_gemma":[0.9990438,0.0003941625,0.0002069105,0.00003391148,0.0001911155,0.0001301089],"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":[0.000228958,0.0001107457,0.003915243,0.0002608279,0.000060446,0.001085295,0.001511221,0.1298004,0.09527215,0.7534446,0.001352704,0.01295757],"study_design_scores_gemma":[0.00004479749,0.0001323074,0.001228194,0.00004120957,0.00001292612,0.0003122784,0.0002629136,0.8682451,0.01046282,0.1174373,0.001760782,0.00005943738],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7611727,0.0009947837,0.2255775,0.0009192046,0.00009851243,0.00005979847,0.00006000469,0.0001604618,0.01095704],"genre_scores_gemma":[0.9804201,0.0002735088,0.01231519,0.00009215218,0.00003752823,0.00007291298,0.00007080068,0.00003326283,0.006684554],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00189344,"threshold_uncertainty_score":0.006334186,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01375551451663814,"score_gpt":0.2032729690943515,"score_spread":0.1895174545777133,"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."}}