𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Blow up rate for a porous medium equation with power nonlinearity

✍ Scribed by Zhilei Liang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
256 KB
Volume
73
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Global existence and blow-up for a nonli
Global existence and blow-up for a nonlinear porous medium equation
✍ Fucai Li; Chunhong Xie 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 405 KB

In this paper, we investigate the positive solution of nonlinear nonlocal porous medium equation ut -Aum = auP f~ uq dx with homogeneous Dirichlet boundary condition and positive initial value u0(x), where m > 1, p, q > 0. Under appropriate hypotheses, we establish the local existence and uniqueness

Blow-up and blow-up rate for a reaction–
Blow-up and blow-up rate for a reaction–diffusion model with multiple nonlinearities
✍ Xianfa Song; Sining Zheng 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 132 KB

This paper deals with interactions among three kinds of nonlinear mechanisms: nonlinear di usion, nonlinear reaction and nonlinear boundary ux in a parabolic model with multiple nonlinearities. The necessary and su cient blow-up conditions are established together with blow-up rate estimates for the

Uniqueness and stability of regional blo
Uniqueness and stability of regional blow-up in a porous-medium equation
✍ Carmen Cortázar; Manuel del Pino; Manuel Elgueta 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 229 KB

Nous étudions le phénomène d'explosion pour l'équation des milieux poreux dans R N , N 1, u t = u m + u m , m > 1, pour une donnée initiale positive ou nulle, à support compact. Une solution u(x, t) de ce problème explose en temps fini T > 0. Notre principal résultat établit qu'il existe un nombre f