{"id":"W2083767680","doi":"10.5539/jmr.v1n2p179","title":"Existence of Solution to Initial-Boundary Value Problems of the Cahn-Hilliard Equation with Nonlocal Terms","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Cahn–Hilliard equation; Boundary value problem; Mathematical analysis; Class (philosophy); Fixed-point theorem; Applied mathematics; Partial differential equation","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004394336,0.0001544365,0.0004889738,0.0003873406,0.0002165977,0.0001006041,0.0006488463,0.00009789695,0.00003573248],"category_scores_gemma":[0.001089994,0.00008972565,0.0001672558,0.000731175,0.0003203831,0.000244534,0.0001120061,0.0005134167,0.000004646897],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00013615,"about_ca_system_score_gemma":0.0005208345,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003363387,"about_ca_topic_score_gemma":0.0000407361,"domain_scores_codex":[0.9958023,0.0002936089,0.00122319,0.0001377872,0.002218052,0.0003250316],"domain_scores_gemma":[0.9962819,0.0007017339,0.0009005453,0.0004745463,0.001523289,0.0001179363],"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":[0.0006648653,0.009971331,0.0004141137,0.006392088,0.0006586781,0.00005812695,0.03991468,0.002754456,0.129363,0.7547658,0.00331019,0.05173262],"study_design_scores_gemma":[0.00131968,0.003613084,0.0004856667,0.004479195,0.0001448137,0.0002933256,0.001824413,0.01652221,0.02534539,0.9453833,0.0003412011,0.0002477759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6530067,0.00006630059,0.3407584,0.001483537,0.0001317677,0.0009854906,0.00001376968,0.00001059127,0.003543437],"genre_scores_gemma":[0.9288136,0.00002090888,0.07081503,0.00001853122,0.00008011578,0.000007733042,0.000001045008,0.00002012915,0.0002228397],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.275807,"threshold_uncertainty_score":0.3658906,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2243984037331957,"score_gpt":0.421297248739987,"score_spread":0.1968988450067914,"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."}}