{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006042557,0.0004467674,0.0003408158,0.001042279,0.0003975546,0.0004717116,0.0003267562,0.0004191128,0.001811526],"category_scores_gemma":[0.001884704,0.0002401732,0.0006936835,0.0002668129,0.0007680433,0.0008043143,0.001184767,0.0008397519,0.0001519054],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003055854,"about_ca_system_score_gemma":0.0003608335,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005499049,"about_ca_topic_score_gemma":0.0004179576,"domain_scores_codex":[0.9998552,0.00004663471,0.000009828598,0.00002548873,0.00003932013,0.00002361683],"domain_scores_gemma":[0.999516,0.0002226289,0.00007294678,0.00002750701,0.0001244829,0.00003646068],"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":[0.00009587197,0.00003283515,0.002292477,0.0001617634,0.00006354081,0.0002131269,0.0003448883,0.0377099,0.02736272,0.9054654,0.001208514,0.02504906],"study_design_scores_gemma":[0.00009176414,0.0001813639,0.003237792,0.00007513817,0.00004699032,0.0005148428,0.0002097712,0.7106916,0.01005417,0.2680974,0.006713373,0.00008583471],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2236431,0.001203275,0.7611348,0.000492017,0.00009379167,0.00007553094,0.0001085636,0.0001273038,0.01312169],"genre_scores_gemma":[0.9238756,0.001134267,0.06272428,0.0001113227,0.00005703296,0.0002122913,0.0001623285,0.00003616606,0.01168663],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001811526,"threshold_uncertainty_score":0.006060183,"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."}}