Locating complex singularities of Burgers’ equation using exponential asymptotics and transseries

Burgers’ equation is an important mathematical model used to study gas dynamics and traffic flow, among many other applications. Previous analysis of solutions to Burgers’ equation shows an infinite stream of simple poles born at t = 0 + , emerging rapidly from the singularities of the initial condi...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2023-10, Vol.479 (2278)
Hauptverfasser:	Lustri, Christopher J., Aniceto, Inês, VandenHeuvel, Daniel J., McCue, Scott W.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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