Gugat M, Hirsch-Dick M, Leugering G (2011)
Publication Type: Journal article
Publication year: 2011
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 49
Pages Range: 2101-2117
Journal Issue: 5
URI: http://epubs.siam.org/sicon/resource/1/sjcodc/v49/i5/p2101_s1
DOI: 10.1137/100799824
We analyze the subcritical gas flow through fan-shaped networks of pipes, that is, through tree-shaped networks with exactly one node where more than two pipes meet. The gas flow in pipe networks is modeled by the isothermal Euler equations, a hyperbolic PDE system of balance laws. For this system we analyze stationary states and classical nonstationary solutions locally around a stationary state on a finite time interval. Furthermore, we present a Lyapunov function and boundary feedback laws to stabilize a fan-shaped network around a given stationary state. © 2011 Society for Industrial and Applied Mathematics.
APA:
Gugat, M., Hirsch-Dick, M., & Leugering, G. (2011). Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization. SIAM Journal on Control and Optimization, 49(5), 2101-2117. https://dx.doi.org/10.1137/100799824
MLA:
Gugat, Martin, Markus Hirsch-Dick, and Günter Leugering. "Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization." SIAM Journal on Control and Optimization 49.5 (2011): 2101-2117.
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