In this paper an elliptic-parabolic coupled system arising from the fluid-solute-heat flowthrough a saturated porous medium is considerd.The uniqueness and the existence of classicalsolutions are proved.The asymptotic...In this paper an elliptic-parabolic coupled system arising from the fluid-solute-heat flowthrough a saturated porous medium is considerd.The uniqueness and the existence of classicalsolutions are proved.The asymptotic behavior of solutions for large time is shown,too.展开更多
In this paper, numerical methods for solving the 'good' Boussinesq eqnation (G. B.) areconsidered. A fourth order accurate difference scheme which satisfies the conservation laws isproposed. Under certain cond...In this paper, numerical methods for solving the 'good' Boussinesq eqnation (G. B.) areconsidered. A fourth order accurate difference scheme which satisfies the conservation laws isproposed. Under certain condition, the proof of stability, convergence and error estimation of thisscheme is given. Some other problems related to Boussinesq are illustrated.展开更多
文摘In this paper an elliptic-parabolic coupled system arising from the fluid-solute-heat flowthrough a saturated porous medium is considerd.The uniqueness and the existence of classicalsolutions are proved.The asymptotic behavior of solutions for large time is shown,too.
文摘In this paper, numerical methods for solving the 'good' Boussinesq eqnation (G. B.) areconsidered. A fourth order accurate difference scheme which satisfies the conservation laws isproposed. Under certain condition, the proof of stability, convergence and error estimation of thisscheme is given. Some other problems related to Boussinesq are illustrated.
