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- W2022781985 abstract "Using a paradigmatic initial condition, we completely analyse the spatial analytic structure of Burgers velocity field and its dependence on time t and viscosity v. The viscous solution has an infinite number of complex poles appearing suddenly at t=0 + . When v↓0 these poles condense on Stokes lines giving rise to the inviscid singularities; the 3-sheeted Riemann surface associated with the latter provides an analytic path across the jump of the shock Pour une condition initiale paradigmatique, nous analysons completement la structure analytique du champ de vitesses, solution de l'equation de Burgers, en fonction du temps t, et de la viscosite v. La solution visqueuse a un nombre infini de poles complexes qui apparaissent soudainement a t=0 + ; quand v↓0, leur condensation sur les lignes de Stokes donne naissance aux singularites inviscides; la surface de Riemann a 3 feuillets associee a ces dernieres permet un franchissement analytique du saut du choc" @default.
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- W2022781985 date "1984-01-01" @default.
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- W2022781985 title "Pole condensation and the Riemann surface associated with a shock in Burgers' equation" @default.
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- W2022781985 doi "https://doi.org/10.1051/jphyslet:019840045017083300" @default.
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