{"id":"W1978401269","doi":"10.1155/2014/840573","title":"Stability of Exact and Discrete Energy for Non-Fickian Reaction-Diffusion Equations with a Variable Delay","year":2014,"lang":"en","type":"article","venue":"Abstract and Applied Analysis","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Program for New Century Excellent Talents in University; Fundamental Research Funds for the Central Universities; State Key Laboratory of Software Development Environment; Beihang University; National Natural Science Foundation of China","keywords":"Mathematics; Reaction–diffusion system; Energy method; Constant (computer programming); Fick's laws of diffusion; Energy (signal processing); Perturbation (astronomy); Variable (mathematics); Exponential growth; Stability (learning theory); Exponential stability; Diffusion; Applied mathematics; Mathematical analysis; Thermodynamics; Physics; Statistics; Computer science","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":[0.0002411099,0.0001325364,0.0003320472,0.0001047104,0.0001362559,0.00003462851,0.00004942748,0.00006984112,0.0000418671],"category_scores_gemma":[0.00003555746,0.0001125263,0.00007588437,0.000288667,0.00007246214,0.00008301101,0.00001125266,0.00006013067,2.966526e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001584919,"about_ca_system_score_gemma":0.00001210142,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000309768,"about_ca_topic_score_gemma":0.00111259,"domain_scores_codex":[0.9992391,0.00001021757,0.0002714508,0.0002217109,0.0001136353,0.0001439149],"domain_scores_gemma":[0.9990766,0.000487842,0.00006589504,0.0002350131,0.00005696678,0.00007769854],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0008929102,0.001283811,0.02460575,0.001439785,0.007812457,3.163197e-7,0.004622415,0.09322985,0.5832288,0.1348242,0.00003034765,0.1480294],"study_design_scores_gemma":[0.002224674,0.0001821548,0.1427143,0.00002651617,0.003379067,5.009888e-7,0.001029221,0.8280317,0.0085264,0.0128026,0.0004947704,0.0005881285],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.606096,0.00001471084,0.3924446,0.00003533767,0.000009170702,0.0001188646,0.00002975332,0.0000298027,0.001221705],"genre_scores_gemma":[0.9983018,0.00001259119,0.001481674,0.000008460279,0.0000248166,0.00006830718,0.000084423,0.00001031131,0.000007590846],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7348018,"threshold_uncertainty_score":0.4588689,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00692845934635028,"score_gpt":0.1983871638022845,"score_spread":0.1914587044559343,"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."}}