✦ LIBER ✦

Global existence and blow-up for a system of heat equations with non-linear boundary conditions

✍ Scribed by Keng Deng

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 375 KB
Volume: 18
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1670180405

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The blow-up rate for the heat equation w

The blow-up rate for the heat equation with a non-linear boundary condition

✍ Marek Fila; Pavol Quittner 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 323 KB 👁 1 views

Blow-up analysis for a system of heat eq

Blow-up analysis for a system of heat equations coupled via nonlinear boundary conditions

✍ Xianfa Song 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB 👁 1 views

## Abstract In this paper, we study a system of heat equations $u\_t=\Delta u, \, v\_t=\Delta v\,{\rm in}\,\Omega\times(0,T)$ coupled __via__ nonlinear boundary conditions Here __p__, __q__>0. We prove that the solutions always blow up in finite time for non‐trivial and non‐negative initial value

The Blow-Up Rate for a Strongly Coupled

The Blow-Up Rate for a Strongly Coupled System of Semilinear Heat Equations with Nonlinear Boundary Conditions

✍ Chunlai Mu; Shaoyong Lai 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 106 KB

The paper deals with the blow-up rate of positive solutions to the system l 11 l 12 l 21 l 22 Ž . u s u q u ¨, ¨s ¨q u ¨with boundary conditions u 1, t s t x x t x x x Ž p 11 p 12 .Ž . Ž . Ž p 21 p 22 .Ž . u ¨1, t and ¨1, t s u ¨1, t . Under some assumptions on the x Ž . Ž . Ž . matrices L s l and

The Blow-up Rate for a System of Heat Eq

The Blow-up Rate for a System of Heat Equations with Non-trivial Coupling at the Boundary

✍ Julio D. Rossi 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 222 KB 👁 2 views

Under some natural hypothesis on the matrix P"(p GH ) that guarrantee the blow-up of the solution at time ¹, and some assumptions of the initial data u G , we find that if "" x """1 then u G (x , t)goestoinfinitylike(¹!t) G /2 , where the G (0 are the solutions of (P!Id) ( , )R"(!1, !1)R. As a corol

On the blow-up rate for the heat equatio

On the blow-up rate for the heat equation with a nonlinear boundary condition

✍ Miroslav Chlebík; Marek Fila 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 92 KB 👁 2 views

Critical Exponents for a System of Heat

Critical Exponents for a System of Heat Equations Coupled in a Non-linear Boundary Condition

✍ Bei Hu; Hong-Ming Yin 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 741 KB

In this paper we consider a system of heat equations ut = Au, v, = Av in an unbounded domain R c RN coupled through the Neumann boundary conditions u, = up, v, = up, where p > 0, q > 0, p q > 1 and v is the exterior unit normal on aR. It is shown that for several types of domain there exists a criti