{"id":"W2009884563","doi":"10.1137/070706380","title":"Stability of Curved Interfaces in the Perturbed Two-Dimensional Allen–Cahn System","year":2009,"lang":"en","type":"article","venue":"SIAM Journal on Applied Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Eigenvalues and eigenvectors; Allen–Cahn equation; Omega; Bounded function; Domain (mathematical analysis); Mathematical analysis; Singular perturbation; Mathematics; Computation; Perturbation (astronomy); Limit (mathematics); Mathematical physics; Pure mathematics; Combinatorics; Physics; Quantum mechanics","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":[0.00161264,0.0002221907,0.0004225731,0.0001172584,0.000078451,0.00008154156,0.001109608,0.00005965369,0.000005861699],"category_scores_gemma":[0.0001595309,0.0001403947,0.00009080376,0.0002213307,0.00004151474,0.0001525708,0.00008207884,0.0005235994,0.00001427066],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001176221,"about_ca_system_score_gemma":0.00003961239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.111544e-7,"about_ca_topic_score_gemma":3.345848e-7,"domain_scores_codex":[0.9979172,0.00005245421,0.000822179,0.0002202023,0.0006858623,0.0003021238],"domain_scores_gemma":[0.9981107,0.0007598796,0.0003212403,0.0006385775,0.00008751603,0.00008214918],"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":[0.0000229411,0.0006351199,0.000001186185,0.0002641497,0.00002082409,0.0000208149,0.005222979,0.1106217,0.00950959,0.8711812,0.00004025902,0.002459282],"study_design_scores_gemma":[0.0008338188,0.000201009,0.00002836934,0.0005774226,0.00001345849,0.0002287956,0.0009278335,0.7983032,0.008469473,0.1901335,0.00001430313,0.0002688874],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1236983,0.00005818827,0.8716755,0.0004245558,0.0001246172,0.0003168908,9.02233e-7,0.00008859218,0.003612476],"genre_scores_gemma":[0.7098918,0.000002330258,0.2899603,0.000095829,0.00003174459,0.000006404914,1.819479e-7,0.000008834067,0.00000254448],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6876815,"threshold_uncertainty_score":0.5725129,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02667347204853173,"score_gpt":0.2643898271777654,"score_spread":0.2377163551292337,"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."}}