Time-periodic Solutions to Systems of Conservation Laws with Ellipticity

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Abstract

We study the time-periodic solutions to systems of conservation laws with ellipticity. It is shown that under time-periodic boundary condition, the system admits at least one global time-periodic solution bounded uniformly with the same period.
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Time-periodic Solutions to Systems of Conservation Laws with Ellipticity. (1999). Journal of Partial Differential Equations, 12(2), 97-105. https://gsp.tricubic.dev/jpde/article/view/3905