{"id":"W4415880396","doi":"10.1016/j.jfa.2025.111251","title":"The global well-posedness and Newtonian limit for the relativistic Boltzmann equation in a periodic box","year":2025,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Gas Dynamics and Kinetic Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"National Key Research and Development Program of China; Hong Kong Polytechnic University; Natural Science Foundation of Guangxi Province; National Natural Science Foundation of China; Canadian Anesthesiologists' Society","keywords":"Boltzmann equation; Limit (mathematics); Newtonian limit; Boltzmann constant; Newtonian fluid; Convergence (economics); Lattice Boltzmann methods","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.001269501,0.00009092168,0.0002276869,0.0001572206,0.0002849846,0.00009748567,0.0001346351,0.00004504244,0.00002043846],"category_scores_gemma":[0.0007742814,0.00004896666,0.0002533089,0.000656145,0.00008161457,0.00005306068,0.00002862291,0.0001479949,6.425217e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001196205,"about_ca_system_score_gemma":0.0001040241,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001321537,"about_ca_topic_score_gemma":0.0002237914,"domain_scores_codex":[0.9990116,0.00008336944,0.0004584835,0.00009540814,0.0002319258,0.0001192549],"domain_scores_gemma":[0.9972997,0.002006933,0.0003017263,0.0001365324,0.0002227366,0.00003237035],"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":[0.0006798771,0.0001752699,0.03313847,0.00005094644,0.003401471,0.000005433354,0.0003044609,0.01950287,0.00003079385,0.9332292,0.001430899,0.008050295],"study_design_scores_gemma":[0.000674586,0.00007319701,0.1302457,0.00003939807,0.002467503,0.00001393445,0.0006580406,0.1585974,0.000001587183,0.7045079,0.002651373,0.00006938403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.182799,0.001771859,0.7986958,0.01486392,0.0005114882,0.0002323831,0.00001765426,0.000006943395,0.001100979],"genre_scores_gemma":[0.9968734,0.00010839,0.0008689218,0.0001235651,0.00009130136,0.000009121984,0.000002523174,0.000004305041,0.001918432],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8140745,"threshold_uncertainty_score":0.21919,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02329481655789061,"score_gpt":0.2882462320844213,"score_spread":0.2649514155265307,"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."}}