Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions

Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions

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We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in eagles head coach hoodie physical properties.The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph is studied.The hyperbolic equation becomes turbo air m3f72-3-n degenerate on a part of the graph as a small parameter goes to zero.

In addition, the rates of degeneration may differ in different edges of the graph.Using the boundary layer method the complete asymptotic expansions of solutions are constructed and justified.