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.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Technische Universität Kaiserslautern DE Germany (DE) Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE)

How to cite

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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