{"id":"W4407588290","doi":"10.1137/24m1675801","title":"Applications of the Green Tensor Estimates of the Nonstationary Stokes System in the Half Space","year":2025,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Science Foundation of Hunan Province; National Research Foundation of Korea; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Simons Foundation","keywords":"Mathematics; Mathematical analysis; Space (punctuation); Tensor (intrinsic definition); Stokes problem; Geometry; Physics; Finite element method","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":[],"consensus_categories":[],"category_scores_codex":[0.001608684,0.0001706675,0.000535354,0.0003982511,0.0003509036,0.00003941763,0.0009539477,0.00007749967,0.00008242017],"category_scores_gemma":[0.001070214,0.00007797401,0.0006618635,0.003434845,0.000272971,0.00007103176,0.0001005326,0.0004198549,0.0000143901],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001218893,"about_ca_system_score_gemma":0.0001300446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002022508,"about_ca_topic_score_gemma":0.00004491381,"domain_scores_codex":[0.9972393,0.0004873065,0.001099152,0.0001546897,0.0008293774,0.000190189],"domain_scores_gemma":[0.9946018,0.003355351,0.0007907958,0.0008791361,0.0003352161,0.00003770158],"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":[0.00001207998,0.0005522027,0.003360634,0.0004521988,0.0008318805,0.000001407107,0.001403299,0.001863563,0.0001730363,0.9903367,0.0004637926,0.0005491747],"study_design_scores_gemma":[0.0005072535,0.00003458896,0.009240041,0.0009621301,0.004379743,0.00005431876,0.006763807,0.04171441,0.0008052315,0.9348698,0.0004853285,0.0001833425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08916273,0.0003991433,0.8577246,0.03087508,0.0001342672,0.002242,0.0001154848,0.00005648646,0.0192902],"genre_scores_gemma":[0.9849215,0.000007627431,0.01391438,0.0001107868,0.00002933552,0.00009139779,0.000001777553,0.00001193318,0.0009113356],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8957587,"threshold_uncertainty_score":0.3179688,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02666348484496076,"score_gpt":0.3309210684310086,"score_spread":0.3042575835860478,"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."}}