In this paper, we investigate the blowup properties of the positive solutions to the following nonlocal degenerate parabolic equation with homogeneous Dirichlet boundary conditions in the interval (0, l), where 0 < ฮฑ < 2, p 1 q 1 > m > 1. We first establish the local existence and uniqueness of its
Single-point blow-up for a degenerate parabolic problem with a nonlinear source of local and nonlocal features
โ Scribed by C.Y. Chan; H.Y. Tian
- Book ID
- 108395734
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 183 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we investigate the positive solution of nonlinear degenerate equation ut = u p ( u+au u q d x) with Dirichlet boundary condition. Conditions on the existence of global and blow-up solution are given. Furthermore, it is proved that there exist two positive constants C1; C2 such that
ln this paper, we establish the local existence of the solution and the finite-time blowup result for the following system: where p, q > 1 and 0 < rl, r2 < 1. Moreover, it is proved that the solution has global blow-up and uniformly on compact subsets of f/, where 7 = Pq -(1 -rl)(1 -r2) and T\* is
In this paper, we establish the local existence of the solution and the finite time blow-up result for the equation where T U is the blow-up time.