{"id":"W3119794568","doi":"10.1016/j.jde.2020.12.027","title":"Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with Ohmic contact boundary in hollow ball","year":2021,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Champlain Regional College; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Fonds de recherche du Québec – Nature et technologies; Natural Science Foundation of Shanghai","keywords":"Mathematics; Sobolev space; Ball (mathematics); Boundary (topology); Mathematical analysis; Stationary state; Boundary value problem; Ohmic contact; Classical mechanics; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003379372,0.0004883433,0.0009718816,0.0005543158,0.001170251,0.00162693,0.001139932,0.002006917,0.002773572],"category_scores_gemma":[0.0009781049,0.0003640736,0.0007468637,0.0002785767,0.002049274,0.001273333,0.001368999,0.0006223907,0.0003151387],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001381234,"about_ca_system_score_gemma":0.0009545635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01176638,"about_ca_topic_score_gemma":0.003466096,"domain_scores_codex":[0.9997813,0.00004855149,0.000007978186,0.00005989988,0.00004969149,0.00005251246],"domain_scores_gemma":[0.9996117,0.0001170477,0.00006780217,0.00002629528,0.0001136027,0.00006363304],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002960523,0.0001457788,0.003553949,0.0001552385,0.0000761187,0.0007827331,0.0004086176,0.8754061,0.02595857,0.08696047,0.002275658,0.003980708],"study_design_scores_gemma":[0.00001039728,0.00001895701,0.0003044703,0.000003847937,0.000004554928,0.00002207246,0.00003827582,0.9960276,0.0006053132,0.002744208,0.0002080664,0.00001235844],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7179573,0.001009176,0.2305635,0.001914302,0.000295699,0.0001250847,0.0003432507,0.0005123793,0.04727927],"genre_scores_gemma":[0.9898722,0.0001446676,0.00273466,0.00009350904,0.00003047792,0.00004241071,0.00008002188,0.00003497305,0.00696718],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01176638,"threshold_uncertainty_score":0.02339578,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08282154039238815,"score_gpt":0.3207099467056643,"score_spread":0.2378884063132762,"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."}}