Because of the huge amount of numerical simulation work on the ocean circulation model, the significance of the qualitative study on the model itself becomes even greater. By means of the stratification theory, the st...Because of the huge amount of numerical simulation work on the ocean circulation model, the significance of the qualitative study on the model itself becomes even greater. By means of the stratification theory, the stability of the ocean heat-salt circulation model was proved in this paper, a method for judging whether a relative initial （boundary） value problem is well-posed or not was also presented.展开更多
This paper is devoted to the analysis of the Cauchy problem for a system of PDEs arising in radiative hydrodynamics. This system, which comes from the so-called equilibrium diffusion regime, is a variant of the usual ...This paper is devoted to the analysis of the Cauchy problem for a system of PDEs arising in radiative hydrodynamics. This system, which comes from the so-called equilibrium diffusion regime, is a variant of the usual Euler equations, where the energy and pressure functionals are modified to take into account the effect of radiation and the energy balance containing a nonlinear diffusion term acting on the temperature. The problem is studied in the multi-dimensional framework. The authors identify the existence of a strictly convex entropy and a stability property of the system, and check that the Kawashima-Shizuta condition holds. Then, based on these structure properties, the wellposedness close to a constant state can be proved by using fine energy estimates. The asymptotic decay of the solutions are also investigated.展开更多
基金supported by the National Natural Science Foundation of China （Grant No.90411006）
文摘Because of the huge amount of numerical simulation work on the ocean circulation model, the significance of the qualitative study on the model itself becomes even greater. By means of the stratification theory, the stability of the ocean heat-salt circulation model was proved in this paper, a method for judging whether a relative initial （boundary） value problem is well-posed or not was also presented.
基金Project supported by the Fundamental Research Funds for the Central Universities (No. 2009B27514)the National Natural Science Foundation of China (No. 10871059)
文摘This paper is devoted to the analysis of the Cauchy problem for a system of PDEs arising in radiative hydrodynamics. This system, which comes from the so-called equilibrium diffusion regime, is a variant of the usual Euler equations, where the energy and pressure functionals are modified to take into account the effect of radiation and the energy balance containing a nonlinear diffusion term acting on the temperature. The problem is studied in the multi-dimensional framework. The authors identify the existence of a strictly convex entropy and a stability property of the system, and check that the Kawashima-Shizuta condition holds. Then, based on these structure properties, the wellposedness close to a constant state can be proved by using fine energy estimates. The asymptotic decay of the solutions are also investigated.
