{"id":"W4210591895","doi":"10.1186/s13662-022-03680-1","title":"Euler equations for isentropic gas dynamics with general pressure law","year":2022,"lang":"en","type":"article","venue":"Advances in Continuous and Discrete Models","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Fundamental Research Funds for Central Universities of the Central South University; Fundamental Research Funds for the Central Universities; Taif University","keywords":"Isentropic process; Euler equations; Limit (mathematics); Gas dynamics; Riemann problem; Limiting; Riemann hypothesis; Euler's formula; Work (physics); Dynamics (music); Physics; Mathematics; Applied mathematics; Thermodynamics; Mechanics; Classical mechanics; Mathematical analysis; Engineering","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":[0.0003045172,0.0003600832,0.000407895,0.0005724298,0.0003738966,0.0009188084,0.0006299465,0.0008643862,0.002668693],"category_scores_gemma":[0.001485649,0.0001761566,0.0003920986,0.0002504827,0.001247873,0.00176179,0.0008847922,0.0008124874,0.0002343004],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006904868,"about_ca_system_score_gemma":0.0004936445,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003593403,"about_ca_topic_score_gemma":0.001498382,"domain_scores_codex":[0.9999132,0.00002278182,0.000005313129,0.00001527278,0.00003033146,0.00001305032],"domain_scores_gemma":[0.999736,0.00008843192,0.00007044854,0.00001663894,0.00005173282,0.00003678464],"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":[0.00004027181,0.00004730626,0.002245851,0.00009393987,0.00001393886,0.0004791849,0.0003161067,0.1703893,0.01400602,0.8063015,0.0009288028,0.005137902],"study_design_scores_gemma":[0.00002142211,0.00001902998,0.0008259173,0.00001750007,0.000004396775,0.0001780265,0.00009570557,0.8988222,0.001167804,0.09771048,0.0011241,0.00001349411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6623687,0.001811753,0.2835336,0.002667428,0.0001462723,0.0000799177,0.0002792119,0.0001906706,0.04892239],"genre_scores_gemma":[0.9683723,0.0008159222,0.01406835,0.0001739339,0.00006947995,0.00005095697,0.0001251919,0.00005157603,0.01627215],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003593403,"threshold_uncertainty_score":0.008927643,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02788490895669475,"score_gpt":0.3083907800889349,"score_spread":0.2805058711322402,"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."}}