In this paper,we improved the regularity results of obstacle problems,in which the smooth conditions of the coefficients aij(x) are released from C1() to L∞(Ω).
No error estimate of the spectral Galerkin approximation for the steady-state Navier-Stokes equations was given without assuming that the data of the external force field and the boundary conditions are small enough. ...No error estimate of the spectral Galerkin approximation for the steady-state Navier-Stokes equations was given without assuming that the data of the external force field and the boundary conditions are small enough. In this paper, under the condition that the solutions of the Navier-Stokes equations are nonsingular, we proved the existence and convergence of the spectral Galerkin approkimation solutions and gave the error estimate. At last, this approximation method was applied to simulate the spherical Couette flow.展开更多
基金This work was supported bythe National Natural Science Foundation of China(No.50306019,40375010,10471109,10471110 andA0324650).
文摘In this paper,we improved the regularity results of obstacle problems,in which the smooth conditions of the coefficients aij(x) are released from C1() to L∞(Ω).
文摘No error estimate of the spectral Galerkin approximation for the steady-state Navier-Stokes equations was given without assuming that the data of the external force field and the boundary conditions are small enough. In this paper, under the condition that the solutions of the Navier-Stokes equations are nonsingular, we proved the existence and convergence of the spectral Galerkin approkimation solutions and gave the error estimate. At last, this approximation method was applied to simulate the spherical Couette flow.
