University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > 1: Smoothing for the higher-order Stokes phenomenon. 2: Exponential asymptotics, the Stokes phenomenon and the higher-order Stokes phenomenon in some linear partial differential equations

1: Smoothing for the higher-order Stokes phenomenon. 2: Exponential asymptotics, the Stokes phenomenon and the higher-order Stokes phenomenon in some linear partial differential equations

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AR2W03 - Applicable resurgent asymptotics: summary workshop

1: The (Berry) smoothing of the normal Stokes phenomenon is well known. In the first part of this talk we discuss the smoothing of the higher-order Stokes phenomenon. 2: Model parabolic and pseudoparabolic PDEs will be studied, motivated by applications to wavefront propagation. The roles of exponentially small terms will be highlighted, with a particular focus on the implications of coincident Stokes lines and on the higher-order Stokes phenomenon. The examples will illustrate some of the complications arising for PDEs beyond those associated with ODEs.

This talk is part of the Isaac Newton Institute Seminar Series series.

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