摘要
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.
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.
基金
supported by Grant-in-Aid for Scientific Research (Grant No. 25220702)
