Well-posedness of networked hyperbolic systems of balance laws

Gugat M, Herty M, Klar A, Leugering G, Schleper V (2011)


Publication Type: Book chapter / Article in edited volumes

Publication year: 2011

Publisher: Springer

Edited Volumes: Constrained Optimization and Optimal Control for Partial Differential Equations

Series: ISNM

City/Town: Basel

Book Volume: 160

Pages Range: 123-146

Journal Issue: 1

ISBN: 978-3-0348-0133-1

URI: http://link.springer.com/chapter/10.1007/978-3-0348-0133-1_7

DOI: 10.1007/978-3-0348-0133-1_7

Abstract

We present an overview on recent results concerning hyperbolic systems on networks. We present a summary of theoretical results on existence, uniqueness and stability. The established theory extends previously known results on the Cauchy problem for nonlinear, 2×2 hyperbolic balance laws. The proofs are based on Wave-Front Tracking and therefore we present detailed results on the Riemann problem first.

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APA:

Gugat, M., Herty, M., Klar, A., Leugering, G., & Schleper, V. (2011). Well-posedness of networked hyperbolic systems of balance laws. In Constrained Optimization and Optimal Control for Partial Differential Equations. (pp. 123-146). Basel: Springer.

MLA:

Gugat, Martin, et al. "Well-posedness of networked hyperbolic systems of balance laws." Constrained Optimization and Optimal Control for Partial Differential Equations. Basel: Springer, 2011. 123-146.

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