Abstract
We study symmetric hyperbolic systems with memory-type dissipation and investigate their dissipative structures. We treat two cases: memory-type diffusion and memory-type relaxation, and observe that the dissipative structures of these two cases are essentially different. Namely, we show that the dissipative structure of the system with memory-type diffusion is of the standard type, while that of the system with memory-type relaxation is of the regularity-loss type.
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This work was supported by Grant-in-Aid for Scientific Research (Grant No. 25220702).
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Kawashima, S., Taniue, S. Dissipative structure for symmetric hyperbolic systems with memory. Sci. China Math. 61, 2053–2064 (2018). https://doi.org/10.1007/s11425-017-9291-y
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DOI: https://doi.org/10.1007/s11425-017-9291-y