This paper deals with the mixed initial-boundary value problem of Dirichlet type for the nonlinear elastodynamic system outside a star-shaped domain. The almost global existence of solution with small initial data to ...This paper deals with the mixed initial-boundary value problem of Dirichlet type for the nonlinear elastodynamic system outside a star-shaped domain. The almost global existence of solution with small initial data to this problem is proved and a lower bound for the lifespan of solutions is given.展开更多
This article reports the homotopy solution for stagnation point flow of a non-Newtonian fluid. An incompressible second grade fluid impinges on the wall either orthogonally or obliquely. The resulting nonlinear proble...This article reports the homotopy solution for stagnation point flow of a non-Newtonian fluid. An incompressible second grade fluid impinges on the wall either orthogonally or obliquely. The resulting nonlinear problems have been solved by a homotopy analysis method （HAM）. Convergence of the series solutions is checked. Such solutions are compared with the numerical solutions presented in a study lint. J. Non-Linear Mech. 43 （2008） 941]. Excellent agreement is noted between the numerical and series solutions.展开更多
基金the National Natural Science Foundation of China (No. 10271030).
文摘This paper deals with the mixed initial-boundary value problem of Dirichlet type for the nonlinear elastodynamic system outside a star-shaped domain. The almost global existence of solution with small initial data to this problem is proved and a lower bound for the lifespan of solutions is given.
文摘This article reports the homotopy solution for stagnation point flow of a non-Newtonian fluid. An incompressible second grade fluid impinges on the wall either orthogonally or obliquely. The resulting nonlinear problems have been solved by a homotopy analysis method （HAM）. Convergence of the series solutions is checked. Such solutions are compared with the numerical solutions presented in a study lint. J. Non-Linear Mech. 43 （2008） 941]. Excellent agreement is noted between the numerical and series solutions.
