The Library
Finite-time singularities of an aggregation equation in R-n with fractional dissipation
Tools
Li, Dong and Rodrigo, Jose (2009) Finite-time singularities of an aggregation equation in R-n with fractional dissipation. Communications in Mathematical Physics, Vol.287 (No.2). pp. 687-703. doi:10.1007/s00220-008-0669-0 ISSN 0010-3616.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1007/s00220-008-0669-0
Abstract
We consider an aggregation equation in R-n, n >= 2with fractional dissipation, namely, u(t) + del. (u del K * u) = -nu(-Delta)(gamma/2)u, where 0 <= gamma < 1 and K is a nonnegative decreasing radial kernel with a Lipschitz point at the origin, e. g. K(x) = e(-|x|). We prove that for a class of smooth initial data, the solutions develop blow-up in finite time.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Communications in Mathematical Physics | ||||
Publisher: | Springer | ||||
ISSN: | 0010-3616 | ||||
Official Date: | April 2009 | ||||
Dates: |
|
||||
Volume: | Vol.287 | ||||
Number: | No.2 | ||||
Number of Pages: | 17 | ||||
Page Range: | pp. 687-703 | ||||
DOI: | 10.1007/s00220-008-0669-0 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |