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Asymptotic limit and decay estimates for a class of dissipative linear hyperbolic systems in several dimensions

Asymptotic limit and decay estimates for a class of dissipative linear hyperbolic systems in several dimensions

In this paper, we study the large-time behavior of solutions to a class of partially dissipative linear hyperbolic systems with applications in, for instance, the velocity-jump processes in several dimensions. Given integers $ n,d\ge 1 $, let $ \mathbf A: = (A^1,\dots,A^d)\in (\mathbb R^{n\times n})^d $ be a matrix-vector and …