【摘要】 考虑具张弛正压气体动力学方程组Cauchy问题 ,利用极值原理证明了张弛在保证“小始值”解的光滑性意义下具有耗散效应。这一结果不仅验证了张弛具有耗散效应 ,而且也丰富了拟线性双曲型方程组中耗散现象的研究更多还原

【Abstract】 The relaxation phenomena are important since they arise in many relevant physical situations as the kinetic theory elasticity with memory traffic flow etc. Up to now, it is hardly studied for the dissipative effect of relaxation. In this paper we consider the motion system in positive compress gas dynamics with relaxation by using the maximum principle, and show that the relaxation admits dissipative effect in guaranteeing the smoothness of the classical solution with small initial data. Our results verify that the relaxation admits dissipative effect, and enrich the study of dissipation in quasi linear hyperbolic system. [WT5HZ]更多还原