Semilinear Parabolic Boundary Value Problems in Combustion Theory

Journal of Mathematical Sciences

Taira, Kazuaki¹ 

关键词: Semilinear parabolic boundary value problem;    Arrhenius equation;    Newtonian cooling;    thermal explosion;    analytic semigroup;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

ThispaperisdevotedtotheanalyticsemigroupapproachtosemilinearparabolicinitialboundaryvalueproblemsarisingincombustiontheorywhichobeyageneralArrheniusequationandNewtoniancooling.Weproveaglobalexistenceanduniquenesstheoremofpositivesolutionsbyusingthetheoryofanalyticsemigroupsinthetopologyofuniformconvergence.Moreover,westudytheasymptoticstabilityofmaximalandminimalpositivesolutionswhentherearemultiplesteady-statesolutions.

【 授权许可】

Unknown