Titre : | ILL-posed problems for integrodifferential equations in mechanics and electromagnetic theory | Type de document : | texte imprimé | Auteurs : | Frederick BLOOM, Auteur | Editeur : | Philadelphie [U.S.A] : Society for Industrial and Applied Mathematics | Année de publication : | Cop. 1981 | Collection : | Siam studies in applied mathematics num. 3 | Importance : | IX-222 p. | ISBN/ISSN/EAN : | 978-0-89871-171-4 | Langues : | Anglais (eng) | Mots-clés : | équation intégrodifférentielle mécanique théorie électromagnétique | Résumé : | Examines ill-posed, initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in linear and nonlinear theories of mechanical viscoelasticity, rigid nonconducting material dielectrics, and heat conductors with memory. Variants of two differential inequalities, logarithmic convexity, and concavity are employed. Ideas based on energy arguments, Riemann invariants, and topological dynamics applied to evolution equations are also introduced. These concepts are discussed in an introductory chapter and applied there to initial boundary value problems of linear and nonlinear diffusion and elastodynamics. Subsequent chapters begin with an explanation of the underlying physical theories. | Note de contenu : | index bibliogr. |
ILL-posed problems for integrodifferential equations in mechanics and electromagnetic theory [texte imprimé] / Frederick BLOOM, Auteur . - Society for Industrial and Applied Mathematics, Cop. 1981 . - IX-222 p.. - ( Siam studies in applied mathematics; 3) . ISBN : 978-0-89871-171-4 Langues : Anglais ( eng) Mots-clés : | équation intégrodifférentielle mécanique théorie électromagnétique | Résumé : | Examines ill-posed, initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in linear and nonlinear theories of mechanical viscoelasticity, rigid nonconducting material dielectrics, and heat conductors with memory. Variants of two differential inequalities, logarithmic convexity, and concavity are employed. Ideas based on energy arguments, Riemann invariants, and topological dynamics applied to evolution equations are also introduced. These concepts are discussed in an introductory chapter and applied there to initial boundary value problems of linear and nonlinear diffusion and elastodynamics. Subsequent chapters begin with an explanation of the underlying physical theories. | Note de contenu : | index bibliogr. |
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