{"id":"W2272750008","doi":"10.1002/cpa.21728","title":"Time‐Periodic Forcing and Asymptotic Stability for the Navier‐Stokes‐Maxwell Equations","year":2017,"lang":"en","type":"preprint","venue":"Communications on Pure and Applied Mathematics","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Université Paris Diderot; National Science Foundation","keywords":"Forcing (mathematics); Navier–Stokes equations; Stability (learning theory); Maxwell's equations; Exponential stability; Mathematical analysis; Mathematics; Space (punctuation); Type (biology); Spacetime; Physics; Classical mechanics; Nonlinear system; Compressibility; Mechanics; Computer science; Quantum mechanics","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":[0.0005719829,0.0006303774,0.0004376045,0.0008378153,0.0006864467,0.0009159876,0.0005799637,0.0006687524,0.001481862],"category_scores_gemma":[0.003227447,0.0002006186,0.000597484,0.0003008136,0.001623874,0.0008601418,0.001748353,0.000860571,0.0001419089],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005051909,"about_ca_system_score_gemma":0.0005868915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001783335,"about_ca_topic_score_gemma":0.0006112535,"domain_scores_codex":[0.9998562,0.00004464431,0.00000791599,0.00002505442,0.00004484586,0.00002138047],"domain_scores_gemma":[0.9989823,0.0004553592,0.000259867,0.00004165568,0.0001637107,0.00009712338],"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":[0.0002222281,0.0001242096,0.003583175,0.0001857985,0.0001144111,0.0007088697,0.0005165946,0.1630624,0.03893515,0.7713162,0.002235578,0.01899548],"study_design_scores_gemma":[0.00002473862,0.00004503005,0.001661219,0.00002986284,0.00001898006,0.0001936368,0.00008496422,0.8562662,0.002615411,0.138017,0.001016047,0.00002674194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7315071,0.001696886,0.2399282,0.002206972,0.0002907681,0.00004095462,0.000102777,0.0001556121,0.02407075],"genre_scores_gemma":[0.9894443,0.0004240797,0.006031062,0.00006618696,0.000138857,0.00004252033,0.00004184527,0.00003521031,0.003775863],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001783335,"threshold_uncertainty_score":0.004957318,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1637772972057167,"score_gpt":0.3665230309307297,"score_spread":0.2027457337250129,"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."}}