{"id":"W4402954279","doi":"10.48550/arxiv.2409.00990","title":"Optimal regularity of subsonic steady-states solution of Euler-Poisson equations for semiconductors with sonic boundary","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Euler's formula; Euler equations; Poisson distribution; Boundary (topology); Boundary value problem; Mathematical analysis; Mathematics; Physics; Semiconductor; Mechanics; Classical mechanics; Quantum mechanics; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000460128,0.0005476922,0.0005803998,0.0008539875,0.0006143656,0.001003252,0.0006835307,0.0009609817,0.001307187],"category_scores_gemma":[0.002082915,0.0003253673,0.0008873935,0.0001891802,0.001552423,0.001346386,0.001255379,0.0007810839,0.0001201672],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008415419,"about_ca_system_score_gemma":0.0007269467,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004143004,"about_ca_topic_score_gemma":0.001853641,"domain_scores_codex":[0.9997886,0.00004884294,0.00001138915,0.00005241907,0.00004149518,0.00005722994],"domain_scores_gemma":[0.9996228,0.0001007628,0.0001220155,0.00002241612,0.00006625179,0.00006566235],"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":[0.0003573203,0.0001295797,0.008573185,0.0002852906,0.0001355054,0.001060029,0.0004604438,0.3463385,0.0322732,0.6011608,0.001986704,0.007239436],"study_design_scores_gemma":[0.00002381424,0.00005906775,0.001522904,0.00002259276,0.00001638581,0.0001203915,0.0001671856,0.9344395,0.002132415,0.06065173,0.0008092464,0.00003474942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7847728,0.001210748,0.1898889,0.00191122,0.0001498446,0.00005914731,0.0001715354,0.0001378687,0.02169799],"genre_scores_gemma":[0.9869242,0.0003593358,0.007455141,0.0001113814,0.0000641583,0.00004564772,0.0001084356,0.00004898533,0.004882747],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004143004,"threshold_uncertainty_score":0.008237779,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1477147928576608,"score_gpt":0.26042692982647,"score_spread":0.1127121369688092,"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."}}