Dissipative structure for symmetric hyperbolic systems with memory |
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Authors: | Shuichi Kawashima Shogo Taniue |
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Institution: | 1.Faculty of Mathematics,Kyushu University,Fukuoka,Japan;2.Graduate School of Mathematics,Kyushu University,Fukuoka,Japan |
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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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