Dealing with a class of isotropic material of hyperelasticity occupaying a 'toroidal' body in R3, we give a proof of existence of the cavitating solutions.
This paper deals with the bifurcation problems of multiparameter and multibranch and their approximations. It derives general approximation results of solution branches in the neighbourhood of a singular (limit, turni...This paper deals with the bifurcation problems of multiparameter and multibranch and their approximations. It derives general approximation results of solution branches in the neighbourhood of a singular (limit, turning or multibranch) point, and shows that turning and multibranch points are bifurcation points. The abstract theories are applied to a mixed finite element approximation of stationary Navier-Stokes equation.展开更多
文摘Dealing with a class of isotropic material of hyperelasticity occupaying a 'toroidal' body in R3, we give a proof of existence of the cavitating solutions.
基金This work is supported by the Science Fund of the Chinese Academy of Sciences.
文摘This paper deals with the bifurcation problems of multiparameter and multibranch and their approximations. It derives general approximation results of solution branches in the neighbourhood of a singular (limit, turning or multibranch) point, and shows that turning and multibranch points are bifurcation points. The abstract theories are applied to a mixed finite element approximation of stationary Navier-Stokes equation.