On the viscous Burgers equation on metric graphs and fractals

We study a formulation of Burgers equation on spaces carrying a local regular resistance form in the sense of Kigami. One possibility is to implement Burgers equation as a semilinear heat equation associated with the Laplacian for scalar functions, just as on the unit interval. Here we propose a sec...

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Veröffentlicht in:	Journal of fractal geometry 2020-01, Vol.7 (2), p.137-182
Hauptverfasser:	Hinz, Michael, Meinert, Melissa
Format:	Artikel
Sprache:	eng
Schlagworte:	Fluid mechanics Measure and integration Operator theory Partial differential equations
Online-Zugang:	Volltext
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