{"id":"W2606083924","doi":"10.1017/s0308210515000219","title":"Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping","year":2015,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Nonlinear system; Convergence (economics); Mathematics; Mathematical analysis; Boundary (topology); Plane (geometry); Quarter (Canadian coin); Hyperbolic partial differential equation; Physics; Geometry; Partial differential equation; Economics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000533355,0.0001491954,0.000305759,0.00002796165,0.0001520622,0.0000397023,0.0001315532,0.0001078907,0.00001251959],"category_scores_gemma":[0.000400096,0.0001161158,0.0001750184,0.0001747752,0.0001348884,0.0001249673,0.00004601936,0.0001358468,2.314438e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005930553,"about_ca_system_score_gemma":0.00004008684,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009269085,"about_ca_topic_score_gemma":0.000003119991,"domain_scores_codex":[0.9990625,0.000003340846,0.0003357142,0.0001383328,0.000285518,0.000174619],"domain_scores_gemma":[0.9989453,0.000257674,0.0001636668,0.0001011882,0.0004610326,0.00007112035],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"qualitative","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.001472737,0.0143027,0.08728671,0.06699068,0.008706626,3.440148e-7,0.3770415,0.06968608,0.2581416,0.01753693,0.0870472,0.01178693],"study_design_scores_gemma":[0.001422507,0.0002378992,0.000394214,0.0002254106,0.0002610328,0.000001301423,0.003108513,0.9837425,0.006201074,0.004041129,0.0001949029,0.000169496],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.893049,0.0001025454,0.105163,0.0002091791,0.0001889148,0.0008540606,0.000032149,0.000112653,0.0002884709],"genre_scores_gemma":[0.9580098,0.000004796495,0.0414443,0.00001583325,0.0001658702,0.00007780346,0.000004973102,0.00002702404,0.0002496103],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9140564,"threshold_uncertainty_score":0.4735065,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01195741150917742,"score_gpt":0.2225703762525537,"score_spread":0.2106129647433763,"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."}}