Ill Posed Problems For Integrodifferential Equations In Mechanics And Electromagnetic Theory


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


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

Author: Frederick Bloom

language: en

Publisher: SIAM

Release Date: 1981-01-01


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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.

Mathematical Problems of Classical Nonlinear Electromagnetic Theory


Mathematical Problems of Classical Nonlinear Electromagnetic Theory

Author: Frederick Bloom

language: en

Publisher: CRC Press

Release Date: 2020-11-29


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A survey of some problems of current interest in the realm of classical nonlinear electromagnetic theory.

Inverse Problems in Diffusion Processes


Inverse Problems in Diffusion Processes

Author: Heinz W. Engl

language: en

Publisher: SIAM

Release Date: 1995-01-01


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This collection of expository papers encompasses both the theoretical and physical application side of inverse problems in diffusion processes.