{"id":"W2948664006","doi":"10.3934/dcds.2019237","title":"Blow-up for the 3-dimensional axially symmetric harmonic map flow into &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ S^2 $&lt;/tex-math&gt;&lt;/inline-formula&gt;","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Nabla symbol; Combinatorics; Omega; Physics; Domain (mathematical analysis); Bounded function; Boundary (topology); Blowing up; Dimension (graph theory); Axial symmetry; Harmonic map; Mathematical physics; Mathematical analysis; Mathematics; Quantum mechanics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001541293,0.001156389,0.00172929,0.0003803794,0.0005857977,0.0007727651,0.002265159,0.00056776,0.00001187237],"category_scores_gemma":[0.0005089567,0.0008300256,0.0006253209,0.0009109695,0.0002131932,0.0009555037,0.001088165,0.0007421338,0.0001747545],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003342363,"about_ca_system_score_gemma":0.000178435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004633619,"about_ca_topic_score_gemma":0.00003756598,"domain_scores_codex":[0.9929043,0.0001478707,0.001931748,0.001718109,0.001564457,0.001733491],"domain_scores_gemma":[0.9945645,0.001701479,0.0005915368,0.001957328,0.0005604768,0.0006246336],"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":[0.000201263,0.0003641985,0.00006060858,0.001961705,0.0006466158,0.00006902214,0.001034074,0.0758371,0.02282633,0.8722681,0.0004865977,0.02424441],"study_design_scores_gemma":[0.001960432,0.0004377362,0.00008080061,0.0006594677,0.0001570715,0.0001269271,0.00006014586,0.9818142,0.0001219199,0.005931294,0.007523546,0.001126462],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2282022,0.00402161,0.7605981,0.0006319656,0.002929977,0.002600996,0.0001257026,0.0005989898,0.0002905145],"genre_scores_gemma":[0.9539384,0.0001098523,0.04228263,0.00023288,0.0005949883,0.0004240178,0.000133719,0.0001890696,0.00209447],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9059771,"threshold_uncertainty_score":0.999415,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008167829712213602,"score_gpt":0.227008984788346,"score_spread":0.2188411550761324,"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."}}