一类可压缩燃烧方程的渐近极限

The Asymptotic Limit for a Class of Compressible Combustion Flow

采用能量估计和Helmholtz分解的方法,证明了在二维或三维空间上当马赫数趋于零时,一类可压缩燃烧方程的解收敛到相应的不可压缩燃烧方程的解.文中对外力、速度和时间没有限制,只是要求方程的初值足够光滑.

It was proved that the compressible combustion flow in two and three space dimensions converges to the incompressible combustion flow in the limit as the Mach number tends to zero by using energy estimates and Helmholtz decomposition.No smallness restrictions were imposed on the external force, the initial velocity,or the time interval.We assumed instead that the initial values were reasonably smooth on a given time interval.