{"id":"W2377499151","doi":"","title":"Existence of Exponential Attractors for Beam Equations","year":2011,"lang":"en","type":"article","venue":"Journal of Southwest University","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Science North","funders":"","keywords":"Attractor; Exponential function; Beam (structure); Mathematics; Exponential growth; Applied mathematics; Mathematical analysis; Statistical physics; Physics; Optics","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":[0.0001495041,0.00006334674,0.0001721075,0.0001113111,0.00005834036,0.00000434016,0.0001664522,0.00005067789,0.00009713069],"category_scores_gemma":[0.00008873754,0.00006731722,0.0001877942,0.00009579163,0.00007005467,0.0002081518,0.00001121307,0.00008594712,0.000001990104],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005048372,"about_ca_system_score_gemma":0.00004418704,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004273695,"about_ca_topic_score_gemma":0.00006532823,"domain_scores_codex":[0.9994959,0.00001678476,0.0002286956,0.00005240178,0.0001143568,0.00009191233],"domain_scores_gemma":[0.9993253,0.0001470708,0.0001311132,0.0001013256,0.000230985,0.00006423326],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"observational","study_design_scores_codex":[0.008527456,0.008923301,0.2287525,0.002730348,0.006722409,0.00009656693,0.2190204,0.04017253,0.2356366,0.2001637,0.0009587873,0.04829546],"study_design_scores_gemma":[0.01762328,0.003149713,0.8140026,0.0004179942,0.002862632,0.00003141633,0.0573719,0.01676972,0.05025183,0.03148219,0.00440159,0.00163512],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8403876,0.00002317842,0.1586802,0.00001769292,0.0002367386,0.00008422724,0.00005104404,0.00001586641,0.0005034615],"genre_scores_gemma":[0.9968644,0.000006243362,0.003057725,0.00000178497,0.00004006129,1.568181e-7,0.000001905875,0.000004836837,0.00002285265],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5852502,"threshold_uncertainty_score":0.2745117,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04469377963207635,"score_gpt":0.1953851391050987,"score_spread":0.1506913594730224,"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."}}