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Multiscale Gevrey asymptotics in boundary layer expansions for some initial value problem with merging turning points
[article]
2017
arXiv
pre-print
We consider a nonlinear singularly perturbed PDE leaning on a complex perturbation parameter ϵ. The problem possesses an irregular singularity in time at the origin and involves a set of so-called moving turning points merging to 0 with ϵ. We construct outer solutions for time located in complex sectors that are kept away from the origin at a distance equivalent to a positive power of |ϵ| and we build up a related family of sectorial holomorphic inner solutions for small time inside some
arXiv:1707.02323v1
fatcat:7hkv37pi5rfotjwbsgus3zm5ym