THIS letter discusses the following initial-boundary value problem: where (?)Ω is the boundary of domain Ω, f(s): [0, b)→(0, +∞) satisfy Because this problem has strong background of physics and geometry, it has a...THIS letter discusses the following initial-boundary value problem: where (?)Ω is the boundary of domain Ω, f(s): [0, b)→(0, +∞) satisfy Because this problem has strong background of physics and geometry, it has attracted much attention in recent years. The main results can be found in ref. [1]. Here we give only a result of reference [2].展开更多
Let Ω be a bounded or unbounded domain in R~n. The initial-boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching ph...Let Ω be a bounded or unbounded domain in R~n. The initial-boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching phenomenon and the existence of global classical solution to the above problem are established. Also, the life span of the quenching solution is estimated or evaluated for some domains.展开更多
文摘THIS letter discusses the following initial-boundary value problem: where (?)Ω is the boundary of domain Ω, f(s): [0, b)→(0, +∞) satisfy Because this problem has strong background of physics and geometry, it has attracted much attention in recent years. The main results can be found in ref. [1]. Here we give only a result of reference [2].
文摘Let Ω be a bounded or unbounded domain in R~n. The initial-boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching phenomenon and the existence of global classical solution to the above problem are established. Also, the life span of the quenching solution is estimated or evaluated for some domains.