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Stability of the 1D IBVP for a non autonomous scalar conservation law

Part of: Hyperbolic equations and systems

Published online by Cambridge University Press:  26 December 2018

Rinaldo M. Colombo  and
Elena Rossi
Rinaldo M. Colombo
Affiliation:
INDAM Unit, University of Brescia, Italy (rinaldo.colombo@unibs.it; elena.rossi@unibs.it;)
Elena Rossi
Affiliation:
INDAM Unit, University of Brescia, Italy (rinaldo.colombo@unibs.it; elena.rossi@unibs.it;)
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Abstract

We prove the stability with respect to the flux of solutions to initial – boundary value problems for scalar non autonomous conservation laws in one space dimension. Key estimates are obtained through a careful construction of the solutions.

Keywords

conservation lawsboundary valueproblems for conservation laws

MSC classification

Primary: 35L65: Conservation laws
Secondary: 35L04: Initial-boundary value problems for first-order hyperbolic equations
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 3 , June 2019 , pp. 561 - 592
Copyright
Copyright © Royal Society of Edinburgh 2018 

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