摘要
A two phase free boundary problem for coupled system including three elliptic equations is considered.The problem comes from the discussion of a growth model of self maintaining protocell in multidimensional case.The global classical solution of the problem with free boundary Γ∶y=g(x,t) between two domains is under search.The global existence and uniqueness of a quasi-stationary problem are proved in multidimensional case.
A two phase free boundary problem for coupled system including three elliptic equations is considered.The problem comes from the discussion of a growth model of self maintaining protocell in multidimensional case.The global classical solution of the problem with free boundary Γ∶y=g(x,t) between two domains is under search.The global existence and uniqueness of a quasi-stationary problem are proved in multidimensional case.
基金
theNationalNaturalScienceFoundationofChina (10 0 710 2 4 )andGuangdongProvincialNaturalScienceFoundation (0 0 0 671) .
