数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (3): 281-292.
林正国
Lin Zhengguo
摘要： In this paper, we study the initial-boundary value problem with rigid wall for the equations in combustion dynamics with largy parameter. Introducing variable scalar norms and two seminorms, making use of the vorticity operator, overcome the difficulty from the large parameter. By energy estimation, the existence and unique theorems of local smooth solution is proved.