๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A very singular solution and other self-similar solutions of the heat equation with convection

โœ Scribed by L.A. Peletier; H.C. Serafini


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
777 KB
Volume
24
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Regular self-similar solutions of the no
โœ Philippe Souplet; Fred B Weissler ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 190 KB

We prove the existence of positive regular solutions of the Cauchy problem for the nonlinear heat equation u t = u + |u| ฮฑ u, with initial value ยตV , for all ยต > 1 close enough to 1, where V is the singular stationary solution in R N . This result is obtained when N > 2 and 2 N-2 < ฮฑ < ฮฑ \* , where