Semilinear Parabolic Boundary Value Problems in Combustion Theory
[摘要] ThispaperisdevotedtotheanalyticsemigroupapproachtosemilinearparabolicinitialboundaryvalueproblemsarisingincombustiontheorywhichobeyageneralArrheniusequationandNewtoniancooling.Weproveaglobalexistenceanduniquenesstheoremofpositivesolutionsbyusingthetheoryofanalyticsemigroupsinthetopologyofuniformconvergence.Moreover,westudytheasymptoticstabilityofmaximalandminimalpositivesolutionswhentherearemultiplesteady-statesolutions.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] Semilinear parabolic boundary value problem;Arrhenius equation;Newtonian cooling;thermal explosion;analytic semigroup [时效性]
