燃烧理论中的非线性奇摄动系统

The Nonlinear Singularly Perturbed System for Theory of Combustion

探讨了在没有预先混合的燃烧理论中 ,非线性奇摄动系统εx″i=hi(t,x) fi(t,x,x′)的 Dirchlet问题和 Robin问题 ,其中 x=(x1,x2 ,… ,xn) T.在适当的条件下 ,证明了解的存在性 ,并给出了解的渐近估计 .

In this paper, a nonlinear singularly perturbed system εx″-i=h-i(t,x)f-i(t,x,x′) of Dirichlet problem and Robin problem for the theory of combustion are considered, where x=(x-1,x-2,:,x-n)+T. Under the appropriate assumption, we prove that there exists a solution x(t,ε) and the estimation of x(t,ε) are obtained using the method of differential inequalities.