Solution of a transport equation with discontinuous coefficients

• Published in: Journal of applied analysis Vol. 27; no. 2; pp. 219 - 238
• Main Authors: Das, Abhishek, Joseph, K. T.
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 01.12.2021; Walter de Gruyter GmbH
• Subjects: 35F61; 35L50; 35R05; Asymptotic properties; Boundary value problems; Conservation laws; discontinuous coefficients; explicit solution; Hyperbolic systems; Transport equation; Transport equations; Velocity

In this article, we study initial and initial-boundary value problems for a non-strictly hyperbolic system whose characteristic speed is not smooth and takes values in . We construct an explicit formula for the weak solution. We also study the interaction of waves and the large time asymptotic behav...