{"id":"W2038724217","doi":"10.1142/s0219530504000291","title":"THE STABILITY AND DYNAMICS OF HOT-SPOT SOLUTIONS TO TWO ONE-DIMENSIONAL MICROWAVE HEATING MODELS","year":2004,"lang":"en","type":"article","venue":"Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Eigenvalues and eigenvectors; Mathematics; Mathematical analysis; Operator (biology); Differential operator; Physics; Chemistry; 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":[0.000413401,0.00007896941,0.0002137004,0.00007291195,0.0004228792,0.00003576598,0.00007594786,0.00002631461,0.000008283115],"category_scores_gemma":[0.0000703234,0.00005941293,0.00008778736,0.0006537115,0.0001107754,0.00004005621,0.00008073445,0.00006174031,7.762857e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003029467,"about_ca_system_score_gemma":0.00002243672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003274558,"about_ca_topic_score_gemma":0.001285451,"domain_scores_codex":[0.9991992,0.00004947875,0.0003021092,0.0001966051,0.0001233808,0.0001293024],"domain_scores_gemma":[0.9988791,0.0005172295,0.00009682664,0.0002991687,0.0001270696,0.00008061344],"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":[0.000006260598,0.0002098849,0.0001829521,0.00001147197,0.0002468706,2.114951e-8,0.0001649483,0.00220401,0.003591699,0.9615709,0.000003080991,0.03180789],"study_design_scores_gemma":[0.0001489206,0.00002203677,0.001253057,0.000007642581,0.0006367071,4.373567e-7,0.0001665634,0.07859796,0.001172975,0.9178751,0.00002651811,0.00009216229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2563806,0.00006292956,0.7422928,0.000822263,0.000003075217,0.0001975764,0.00003431052,0.0000104378,0.0001960658],"genre_scores_gemma":[0.8454264,0.00002650951,0.1543669,0.00002925959,0.00001163166,0.00009545795,0.00001508217,0.000005137072,0.00002362601],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5890458,"threshold_uncertainty_score":0.3252487,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07357039105067414,"score_gpt":0.3476667827216959,"score_spread":0.2740963916710217,"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."}}