Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation

The formation of shocks in waves of advance in nonlinear partial differential equations is a well-explored problem and has been studied using many different techniques. In this paper we demonstrate how an exponential-asymptotic approach can be used to completely characterize the shock formation in a...

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Bibliographic Details
Main Authors: Chapman, S, Howls, C, King, JR, Olde Daalhuis, AB
Format: Journal article
Language:English
Published: 2007