£81.13

Society for Industrial and Applied Mathematics (SIAM) Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory: 3 (Studies in Applied and Numerical Mathematics, Series Number 3)

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£96.00 £79.64 £83.21 £86.78 £90.35 £93.92 £97.49 15 June 2026 16 June 2026 18 June 2026 20 June 2026 22 June 2026

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Description

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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