{"id":"W4389705464","doi":"10.23952/jnva.8.2024.1.01","title":"Global solutions to nonlinear wave equations arising from a variational principle","year":2023,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China; National Science Foundation","keywords":"Nonlinear system; Variational principle; Mathematics; Applied mathematics; Physics; Classical mechanics; Mathematical analysis; Calculus (dental); Quantum mechanics; Medicine","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005349502,0.0001679581,0.0003956985,0.000429862,0.0003465416,0.0001398405,0.0001460445,0.00005976483,0.0005635718],"category_scores_gemma":[0.0001233079,0.0001513795,0.00041872,0.002041212,0.00002777776,0.0002244175,0.0001161559,0.0001691214,0.00005304428],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006769611,"about_ca_system_score_gemma":0.0003127897,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000366417,"about_ca_topic_score_gemma":0.0000719808,"domain_scores_codex":[0.9981955,0.0000801047,0.0006955003,0.0002358373,0.0005166166,0.0002763869],"domain_scores_gemma":[0.9983354,0.0003785745,0.0003549509,0.000168673,0.0005023128,0.0002601568],"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":[0.0001741949,0.001416221,0.2799261,0.00001384909,0.01514202,0.00003637818,0.001598292,0.4483815,0.0005953324,0.2421226,0.001977717,0.008615889],"study_design_scores_gemma":[0.0005528321,0.00005037171,0.2330656,0.00001426308,0.00126391,0.000002836553,0.0002105566,0.7415724,0.000008078213,0.01810116,0.004956806,0.0002011291],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2493996,0.00003917589,0.7420059,0.003774627,0.0003073423,0.0001286495,0.003612556,0.00002811766,0.0007040561],"genre_scores_gemma":[0.8449386,0.0000101992,0.1493386,0.0002194651,0.003539181,0.000005660488,0.001542263,0.00001804446,0.0003879472],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5955391,"threshold_uncertainty_score":0.6173075,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03063047213690331,"score_gpt":0.3095625497610756,"score_spread":0.2789320776241723,"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."}}