In this paper we discuss the P-systems with relaxation, and prove that the relaxation plays the same roles as dissipation in the sense of maintaining smoothness of 'small solution'.
In this paper, we investigate the relaxation phenomenon for quasilinear hyperbolic conservation laws, and obtain global smooth solutions and the life span of classical solutions to its Cauchy problem. These results sh...In this paper, we investigate the relaxation phenomenon for quasilinear hyperbolic conservation laws, and obtain global smooth solutions and the life span of classical solutions to its Cauchy problem. These results shows that the relaxation admits the effects of dissipation.展开更多
文摘In this paper we discuss the P-systems with relaxation, and prove that the relaxation plays the same roles as dissipation in the sense of maintaining smoothness of 'small solution'.
基金Supported by the NSF of China(t0571024)Supported by the NSF of Henan Province(200511051700)Supported by the NSF of Educational Department of Henan Province(200510078005)
文摘In this paper, we investigate the relaxation phenomenon for quasilinear hyperbolic conservation laws, and obtain global smooth solutions and the life span of classical solutions to its Cauchy problem. These results shows that the relaxation admits the effects of dissipation.
