{"id":"W1986572340","doi":"10.1002/aic.14664","title":"Low‐order optimal regulation of parabolic PDEs with time‐dependent domain","year":2014,"lang":"en","type":"article","venue":"AIChE Journal","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Partial differential equation; Control theory (sociology); Observer (physics); Mathematics; Distributed parameter system; Eigenfunction; Parabolic partial differential equation; Galerkin method; Discrete time and continuous time; Transformation (genetics); Boundary (topology); Controller (irrigation); Tracking (education); Domain (mathematical analysis); Time domain; Boundary value problem; Applied mathematics; Finite element method; Mathematical analysis; Computer science; Engineering; Control (management); Eigenvalues and eigenvectors; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006162146,0.000580473,0.0005485854,0.0002293536,0.0002479533,0.000930118,0.000529173,0.0006884725,0.0008213369],"category_scores_gemma":[0.001279846,0.0003101057,0.0004901969,0.0001378774,0.000944871,0.0005129903,0.0008786508,0.0007761872,0.0001192658],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006968364,"about_ca_system_score_gemma":0.0008223621,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003285384,"about_ca_topic_score_gemma":0.002003639,"domain_scores_codex":[0.999778,0.00006381355,0.000008546232,0.0000494671,0.00007462197,0.00002553873],"domain_scores_gemma":[0.9995815,0.0002048506,0.00007637104,0.00003115914,0.00008817019,0.00001790114],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009923828,0.00005084345,0.0006768441,0.0001191745,0.00002602566,0.00008721583,0.0002110129,0.9194627,0.02372151,0.03780418,0.0005143093,0.01722696],"study_design_scores_gemma":[0.000005668213,0.00001320304,0.00003842552,0.000001684374,0.000001443745,0.000003074292,0.000005067558,0.9975525,0.0009021881,0.001304208,0.000170512,0.000002178231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03669365,0.0001096804,0.9594746,0.0001367097,0.00003761809,0.00002897109,0.00001848371,0.00009307032,0.00340721],"genre_scores_gemma":[0.954543,0.0001438421,0.04087313,0.00004269761,0.0000194577,0.0001404394,0.00004631411,0.00002483215,0.004166183],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003285384,"threshold_uncertainty_score":0.00653249,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004373329349242868,"score_gpt":0.1897168635746216,"score_spread":0.1853435342253787,"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."}}