Search Results - "OCKENDON, JOHN R."
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ASYMPTOTIC ANALYSIS OF A SYSTEM OF ALGEBRAIC EQUATIONS ARISING IN DISLOCATION THEORY
Published in SIAM journal on applied mathematics (01-01-2010)“…The system of algebraic equations given by $\sum\nolimits_{j = 0,j \ne i}^n {\frac{{\operatorname{sgn} ({x_i} - {x_j})}}{{{\left| {{x_i} - {x_j}} \right|}^a}}}…”
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WAVE PROPAGATION ALONG PERIODIC LAYERS
Published in SIAM journal on applied mathematics (01-01-2018)“…Solutions for waves traveling transversely in a layered medium satisfy an exact recurrence relation when the transit time across each of the layers is the…”
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Contour integral solutions of the parabolic wave equation
Published 06-06-2018“…We present a simple systematic construction and analysis of solutions of the two-dimensional parabolic wave equation that exhibit far-field localisation near a…”
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Interactions of point vortices in the Zabusky-McWilliams model with a background flow
Published 19-06-2011“…We combine a simple quasi-geostrophic flow model with the Zabusky-McWilliams theory of atmospheric vortex dynamics to address a hurricane-tracking problem of…”
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Representation of solutions of linear PDE's with constant coefficients as superpositions of solutions in lower dimensions
Published 21-08-2003“…A unified approach to the representation of solutions of linear PDE's with constant coefficients in high dimensions in terms of solutions of the same PDE's in…”
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