The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics

In this paper, we consider the classical Riemann problem for a generalized Burgers equation, ut+hα(x)uux=uxx,$$\begin{equation*} u_t + h_{\alpha }(x) u u_x = u_{xx}, \end{equation*}$$with a spatially dependent, nonlinear sound speed, hα(x)≡(1+x2)−α$h_{\alpha }(x) \equiv (1+x^2)^{-\alpha }$ with α>...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Studies in applied mathematics (Cambridge) 2023-05, Vol.150 (4), p.963-995
Hauptverfasser:	Needham, David J., Meyer, John C., Billingham, John, Drysdale, Catherine
Format:	Artikel
Sprache:	eng
Schlagworte:	Alpha decay Asymptotic methods Asymptotic series Burgers equation Cauchy problems Decay rate generalized Burgers equation large‐time structure Mathematical analysis Parameter identification Riemann problem Sound spatially decaying sound speed
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!