6 Result(s)
within
Chapter
Joseph B. Keller
Mathematics
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Chapter and Conference Paper
Wave Propagation
The mathematical theory of wave propagation is the study of partial differential equations, or systems of such equations, with wave-like solutions. An example of such an equation is the wave equation ...
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Chapter
Asymptotic Methods for Partial Differential Equations: The Reduced Wave Equation and Maxwell’s Equations
The short wavelength or high frequency asymptotic theory of the reduced wave equation and of Maxwell’s equations is presented. The theory is applied to representative problems involving reflection, transmissio...
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Chapter
Asymptotic and Numerical Results for Blowing-Up Solutions to Semilinear Heat Equations
Asymptotic and numerical results for blowing-up solutions to a class of semilinear heat equations are presented. They are obtained using the original space-time coordinate frame without any dynamical rescaling...
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Chapter
Effective Conductivities of Reciprocal Media
The conductivity σ of a medium is the coefficient of proportionality between a force E and a flux J in the linear relation J = σ E.
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Chapter
Diffraction by a Semi-Infinite Screen With a Rounded End
Suppose a cylindrical wave is incident upon a semi-infinite thin screen with a rounded end, such as that shown in Figure 1. The rounded end is obtained by placing a cylindrical tip of radius a on the end of the s...
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Chapter and Conference Paper
Free Boundary Problems in Mechanics
Free boundary problems are defined and illustrated by several problems in mechanics. First the problem of finding the free surface of a liquid in hydrostatic equilibrium is considered. Then the effect of surfa...
