{"doi":"10.21656/1000-0887.360293","title":"Asymptotic Solutions to a Class of Singular Perturbation Burning Models","abstract":null,"journal":"应用数学和力学","year":2016,"id":618591,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":0,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1595912,"name":"MO Jia-qi","orcid":null,"position":2,"is_corresponding":false},{"id":1595911,"name":"SHI Juan-rong","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Asymptotic Solutions to a Class of Singular Perturbation Burning Models","abstract":"A class of nonlinear singularly perturbed burning models with two parameters were discussed. Firstly, the outer solution to the burning model was constructed with the perturbation method. Secondly, through the introduction of a stretched variable, the initial layer correction term of the solution to the burning model was constructed. Then the multi-scale method and the composite expansion method were used to build the boundary layer correction term of the model solution and find the asymptotic solution to the original initial boundary value problem. Finally, the uniform validity of the obtained asymptotic solution was proved according to the theory of differential inequalities. The proposed solving method for this class of nonlinear singularly perturbed burning models is convenient and practicable.","is_dataset_classified":null,"base_score":0.0,"endowment":0.0,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19910364","pmcid":null,"openalex_id":"https://openalex.org/W2474612756","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.09529703,"influential_citations":0,"citation_trend":[],"oa_status":"hybrid","license":"cc-by","oa_locations":[{"url":"http://www.applmathmech.cn/CN/article/downloadArticleFile.do?attachType=PDF&id=5054","host_type":"journal"},{"url":"http://www.applmathmech.cn/CN/article/downloadArticleFile.do?attachType=PDF&id=5054","host_type":"HYBRID"},{"url":"http://www.applmathmech.cn/CN/article/downloadArticleFile.do?attachType=PDF&id=5054","host_type":"publisher"},{"url":"http://www.applmathmech.cn/EN/article/downloadArticleFile.do?attachType=PDF&id=5054","host_type":"publisher"},{"url":"https://doi.org/10.21656/1000-0887.360293","host_type":"journal"}],"fields_of_study":["Differential Equations and Numerical Methods","Mathematics","Physics"],"mesh_terms":[],"keywords":["Singular perturbation","Method of matched asymptotic expansions","Nonlinear system","Boundary value problem","Mathematics","Asymptotic expansion","Perturbation (astronomy)","Term (time)","Boundary layer","Class (philosophy)","Applied mathematics","Mathematical analysis","Asymptotic analysis","Singular solution","Computer science","Mechanics","Physics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-03T04:47:42.038745Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}