{"id":"W4322007339","doi":"10.1007/s00205-023-01850-3","title":"Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain","year":2023,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Research Foundation of Korea; Pohang University of Science and Technology; Canada Research Chairs; University of Toronto; Deutsche Forschungsgemeinschaft; National Research Foundation","keywords":"Bounded function; Mathematics; Nonlinear system; Uniform boundedness; Sobolev space; Exponential growth; Constant (computer programming); Mathematical analysis; Zero (linguistics); Spectral gap; Rate of convergence; Extinction (optical mineralogy); Domain (mathematical analysis); Conjecture; Exponential decay; Exponential function; Diffusion; Physics; Pure mathematics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001523801,0.0006668812,0.0005284484,0.001833092,0.0007421333,0.001278459,0.0009700157,0.0007229872,0.001744536],"category_scores_gemma":[0.0114438,0.0002922016,0.0005358176,0.0003417348,0.003070332,0.001686553,0.00220547,0.00140986,0.0002454654],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001820519,"about_ca_system_score_gemma":0.0006523721,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003668401,"about_ca_topic_score_gemma":0.001067674,"domain_scores_codex":[0.9996111,0.0001348964,0.00001784845,0.00004729407,0.0001167339,0.00007213961],"domain_scores_gemma":[0.9955341,0.002359957,0.0006803417,0.0002072304,0.0006686542,0.0005496843],"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":[0.0002668049,0.00008889481,0.004041346,0.0002651227,0.00006266962,0.0006034283,0.000873904,0.115989,0.02142608,0.8463802,0.001352551,0.008649967],"study_design_scores_gemma":[0.00003171404,0.0000669283,0.001262507,0.00005891719,0.00001397588,0.0002161243,0.0001927534,0.8046325,0.002455136,0.1899762,0.001065431,0.00002785863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7707167,0.001438533,0.2029669,0.001449477,0.00009254439,0.0000686846,0.00009418788,0.0004279177,0.022745],"genre_scores_gemma":[0.9870961,0.0004482219,0.007362366,0.0001034712,0.0000411778,0.0000447249,0.00007523795,0.00007697546,0.004751646],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003668401,"threshold_uncertainty_score":0.01320887,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01501434072834034,"score_gpt":0.258287354916526,"score_spread":0.2432730141881856,"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."}}