{"id":"W1992101335","doi":"10.1090/s0002-9939-2014-12057-0","title":"Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions","year":2014,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":73,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Program for New Century Excellent Talents in University; National Natural Science Foundation of China; Shanghai Municipal Education Commission; Fudan University; Division of Mathematical Sciences; National Science Foundation","keywords":"Harmonic map; Compact space; Compressibility; Mathematical analysis; Heat equation; Mathematics; Rigidity (electromagnetism); Harmonic; Harmonic oscillator; Coercivity; Pure mathematics; Physics; Thermodynamics; Condensed matter physics; Quantum mechanics","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":[0.00116516,0.0002214725,0.001003144,0.00003766808,0.00006268189,0.000008027972,0.0004294224,0.0000687497,0.00002097726],"category_scores_gemma":[0.001362315,0.000167289,0.0003938586,0.0008383085,0.0009779232,0.0001130282,0.0003678486,0.0002037758,0.000001137004],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009748892,"about_ca_system_score_gemma":0.00006366499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007602313,"about_ca_topic_score_gemma":0.00000924259,"domain_scores_codex":[0.9977176,0.00004731548,0.001104276,0.0002541905,0.000584213,0.0002923848],"domain_scores_gemma":[0.9976444,0.0006747562,0.0008983413,0.000298705,0.0003867603,0.0000970351],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003566941,0.002158902,0.009984056,0.005875023,0.0004006322,1.773929e-7,0.009093124,0.0000736962,0.5256022,0.4435065,0.002452644,0.0004963638],"study_design_scores_gemma":[0.003373394,0.0009833408,0.00416666,0.002506613,0.0007520011,0.00003775361,0.009632122,0.06638034,0.06658909,0.84476,0.00009881736,0.00071986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9942007,0.00004994049,0.003282554,0.0004318799,0.0000296145,0.000479243,0.00004885716,0.00002354166,0.00145366],"genre_scores_gemma":[0.9098926,0.00002749773,0.0899663,0.00003687779,0.00001695722,0.00001893211,8.00351e-7,0.0000222886,0.00001781357],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4590131,"threshold_uncertainty_score":0.6821848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01987486185902255,"score_gpt":0.3028308896062648,"score_spread":0.2829560277472423,"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."}}