{"id":"W4415985891","doi":"10.1137/25m1727321","title":"Nonlinear Stability of Shock Profiles to Burgers Equation with Critical Fast Diffusion and Singularity","year":2025,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University; Champlain Regional College","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Burgers' equation; Singularity; Nonlinear system; Stability (learning theory); Shock (circulatory); Diffusion","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":[0.0004849082,0.0008970594,0.0006460035,0.001655244,0.00103141,0.002007684,0.001119147,0.001118507,0.002870888],"category_scores_gemma":[0.004751027,0.000370689,0.0006527378,0.0004258206,0.001913118,0.001655041,0.002150857,0.001221883,0.0003080519],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001340647,"about_ca_system_score_gemma":0.001087229,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004137297,"about_ca_topic_score_gemma":0.001488412,"domain_scores_codex":[0.9998037,0.00006201862,0.000009098293,0.00003918313,0.0000430698,0.00004296531],"domain_scores_gemma":[0.998816,0.0003535289,0.0002228176,0.00004702036,0.0003611024,0.0001995759],"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":[0.000869319,0.0002938967,0.00734386,0.0003362202,0.0001382545,0.001315753,0.001253057,0.20557,0.05396736,0.7039834,0.004763968,0.02016502],"study_design_scores_gemma":[0.00004379438,0.00006460401,0.001456059,0.00002464139,0.00001512208,0.0001765789,0.0002508082,0.8975551,0.002561923,0.09704931,0.0007631869,0.00003891674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8407926,0.001310303,0.1289315,0.001598963,0.000254652,0.0001516475,0.0002061998,0.0002574604,0.02649662],"genre_scores_gemma":[0.9862447,0.0003185729,0.004106532,0.000111476,0.00009999525,0.00004054811,0.0001082103,0.00006930645,0.008900581],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004137297,"threshold_uncertainty_score":0.009727061,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05070436744885144,"score_gpt":0.3558605805265471,"score_spread":0.3051562130776956,"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."}}