{"id":"W1982397869","doi":"10.1016/j.jde.2009.04.004","title":"Nonlinear diffusion waves for hyperbolic p-system with nonlinear damping","year":2009,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"ca_institutions":"Champlain Regional College; McGill University","funders":"","keywords":"Nonlinear system; Mathematics; Mathematical analysis; Constant (computer programming); Conservation law; Convergence (economics); Initial value problem; Function (biology); Hyperbolic partial differential equation; Diffusion; Cauchy problem; Energy method; Partial differential equation; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003499693,0.0002262678,0.0005010703,0.0003386486,0.000367074,0.0000987318,0.0002701289,0.0001127335,0.00004449788],"category_scores_gemma":[0.0006518497,0.0001714456,0.0002943288,0.000311589,0.00004692708,0.0003167164,0.00002472582,0.0002774652,0.00001031813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001716745,"about_ca_system_score_gemma":0.0001846004,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003535012,"about_ca_topic_score_gemma":0.00001568303,"domain_scores_codex":[0.9978219,0.00009654144,0.000998496,0.0001755572,0.000605061,0.0003024174],"domain_scores_gemma":[0.9971638,0.0006969582,0.0009195413,0.0003008041,0.0007453694,0.0001734718],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001555548,0.008891211,0.0006823837,0.0007966647,0.001370343,0.00005714318,0.007721694,0.002048506,0.1431853,0.7861486,0.003956453,0.04358609],"study_design_scores_gemma":[0.02935317,0.008434992,0.006599379,0.003960784,0.004579429,0.0008550124,0.0050274,0.833268,0.01492069,0.07640255,0.01383649,0.002762148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2697478,0.00005122665,0.7283743,0.000735025,0.0003035364,0.0004001147,0.00005085528,0.00005428576,0.0002828685],"genre_scores_gemma":[0.8861954,0.00001016881,0.112385,0.0000513773,0.0009934938,0.00001228173,0.00003222517,0.00003475447,0.0002853035],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8312194,"threshold_uncertainty_score":0.6991347,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05947285108962145,"score_gpt":0.3315481800091121,"score_spread":0.2720753289194906,"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."}}