✦ LIBER ✦

Study of the Blow-up Set by Transformation

✍ Scribed by Amin Boumenir

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 188 KB
Volume: 201
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0282

No coin nor oath required. For personal study only.

✦ Synopsis

We obtain some new results on blow-up for the heat equation with nonlinear sources by transformation into an absorption problem. Our work is related to that of Kawohl and Peletier who first developed such a transformation in some special cases. Here we provide a systematic method for constructing a suitable transformation by using the class of regularly varying functions. Through regularization we obtain a precise characterization of the blow-up set as zeros of a certain ⑀-steadystate.

📜 SIMILAR VOLUMES

“The perfect set up” a study of intensiv

“The perfect set up” a study of intensive service

✍ Houston Brummit; Anne G. Schieren 📂 Article 📅 1970 🏛 John Wiley and Sons 🌐 English ⚖ 786 KB

An algorithmic version of the blow-up le

An algorithmic version of the blow-up lemma

✍ János Komlós; Gabor N. Sarkozy; Endre Szemerédi 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 210 KB 👁 1 views

Recently we developed a new method in graph theory based on the regularity lemma. The method is applied to find certain spanning subgraphs in dense graphs. The other main general tool of the method, besides the regularity lemma, is the so-called blow-up Ž w Ž .x lemma Komlos, Sarkozy, and Szemeredi

The Role of Critical Exponents in Blow-U

The Role of Critical Exponents in Blow-Up Theorems: The Sequel

✍ Keng Deng; Howard A. Levine 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 257 KB

Blow-up Estimates of the Positive Soluti

Blow-up Estimates of the Positive Solution of a Parabolic System

✍ Michael Pedersen; Zhigui Lin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 101 KB

Blow-up profiles of solutions for the ex

Blow-up profiles of solutions for the exponential reaction-diffusion equation

✍ A. Pulkkinen 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 311 KB 👁 1 views

## Communicated by Marek Fila We consider the blow-up of solutions for a semilinear reaction-diffusion equation with exponential reaction term. It is known that certain solutions that can be continued beyond the blow-up time possess a non-constant self-similar blowup profile. Our aim is to find th

Blow-up of smooth solutions to the Navie

Blow-up of smooth solutions to the Navier–Stokes–Poisson equations

✍ Huazhao Xie 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 122 KB 👁 1 views

## Communicated by S. Chen The main purpose of this paper is concerned with blow-up smooth solutions to Navier-Stokes-Poisson (N-S-P) equations. First, we present a sufficient condition on the blow up of smooth solutions to the N-S-P system. Then we construct a family of analytical solutions that