{"id":"W2071654613","doi":"10.1016/j.anihpc.2007.07.006","title":"Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane","year":2008,"lang":"en","type":"article","venue":"Annales de l Institut Henri Poincaré C Analyse Non Linéaire","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Cincinnati; National Science Foundation","keywords":"Korteweg–de Vries equation; Homogeneous; Boundary value problem; Mathematics; Plane (geometry); Quarter (Canadian coin); Mathematical physics; Mathematical analysis; Physics; Geometry; Nonlinear system; Thermodynamics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001452053,0.001562347,0.001737218,0.001387873,0.001346129,0.003789446,0.001955693,0.003774506,0.009291739],"category_scores_gemma":[0.00494861,0.000913596,0.001816034,0.001257327,0.003031008,0.003328971,0.002544402,0.003359665,0.0012575],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002718993,"about_ca_system_score_gemma":0.002583895,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.02115658,"about_ca_topic_score_gemma":0.009751715,"domain_scores_codex":[0.9993244,0.0002533278,0.00004595653,0.0001412826,0.0001314473,0.0001036277],"domain_scores_gemma":[0.9988484,0.0006662987,0.0001687025,0.00005630606,0.0001588968,0.0001013702],"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":[0.0001188803,0.0001051822,0.0008908582,0.0002971668,0.00005344742,0.0004530159,0.0004457851,0.2025703,0.002215895,0.772698,0.005982794,0.01416862],"study_design_scores_gemma":[0.00008077708,0.00003757931,0.0005765929,0.00008988006,0.00002093054,0.0001614906,0.000279472,0.7994031,0.0008299315,0.1889523,0.009506363,0.0000616359],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1155929,0.01775878,0.6931338,0.01007134,0.001717392,0.000378846,0.001832702,0.0002115763,0.1593026],"genre_scores_gemma":[0.6742008,0.008801406,0.1574946,0.001198776,0.001541043,0.0009964701,0.002196385,0.0005225304,0.153048],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.02115658,"threshold_uncertainty_score":0.04206687,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0384583996803637,"score_gpt":0.3016726330137511,"score_spread":0.2632142333333874,"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."}}