Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory

ISBN: 0898711711

Category: Technical

Tag: Science/Engineering


Posted on 2009-04-23. By anonymous.

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0898711711

Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory (SIAM Studies in Applied and Numerical Methematics) (Studies in Applied and Numerical Mathematics): Frederick Bloom
Society for Industrial Mathematics | ISBN: 0898711711 | 1987-01-01 | PDF (OCR) | 232 pages | 13.95 Mb

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.

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