By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result o...By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow-up phenomena of classical solutions of these systems. These results show that the dissipation is strong enough to preserve the smoothness of ‘small ’ solution.展开更多
Based on Glaubers theory, a single spin transition critical dynamics is presented. The distinguishing features of this theory are that it is suitable for arbitrary spin systems, the transition probability can be det...Based on Glaubers theory, a single spin transition critical dynamics is presented. The distinguishing features of this theory are that it is suitable for arbitrary spin systems, the transition probability can be determined by a universal expression and the indefinite constant in Glaubers theory is eliminated.展开更多
文摘By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow-up phenomena of classical solutions of these systems. These results show that the dissipation is strong enough to preserve the smoothness of ‘small ’ solution.
文摘Based on Glaubers theory, a single spin transition critical dynamics is presented. The distinguishing features of this theory are that it is suitable for arbitrary spin systems, the transition probability can be determined by a universal expression and the indefinite constant in Glaubers theory is eliminated.
