{"id":"W2950244873","doi":"10.48550/arxiv.0810.3055","title":"Regularity of solutions for the critical $N$-dimensional Burgers' equation","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Burgers' equation; Mathematics; Mathematical physics; Mathematical economics; Mathematical analysis; Partial differential equation","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":[0.0009528851,0.0008100804,0.000625581,0.001781072,0.0009950224,0.001588308,0.0009906607,0.001390696,0.00181075],"category_scores_gemma":[0.004209927,0.0003720392,0.000494889,0.0004724338,0.002471064,0.001469497,0.001555082,0.0009810723,0.000166544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00138978,"about_ca_system_score_gemma":0.0007744333,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003596008,"about_ca_topic_score_gemma":0.001856505,"domain_scores_codex":[0.9998252,0.00004558843,0.00001126909,0.00004126521,0.00002787618,0.00004877677],"domain_scores_gemma":[0.9991468,0.0002837468,0.000221294,0.0000347801,0.0001362643,0.0001770737],"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":[0.0006807224,0.0001385559,0.006490052,0.0002987336,0.00009131733,0.001437381,0.001150458,0.08045954,0.03882107,0.8578177,0.003629143,0.008985394],"study_design_scores_gemma":[0.0001568155,0.000196228,0.00469458,0.0001544687,0.00004230972,0.0005671104,0.0008034865,0.5756335,0.006758857,0.4071537,0.003716786,0.0001222168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9378236,0.00123548,0.0433883,0.001811799,0.0001333704,0.00003675372,0.0001439141,0.00007049864,0.01535624],"genre_scores_gemma":[0.9873701,0.0004868963,0.005867739,0.0001363647,0.00007503553,0.00004555803,0.0001660507,0.00002918465,0.005823006],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003596008,"threshold_uncertainty_score":0.01008368,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2762290563052446,"score_gpt":0.3852272179503008,"score_spread":0.1089981616450563,"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."}}