EXISTENCE OF SELF-SIMILAR BLOW-UP SOLUTIONS FOR ZAKHAROV EQUATION IN DIMENSION-2 .1.

Authors
GLANGETAS L MERLE F
Citation
L. Glangetas et F. Merle, EXISTENCE OF SELF-SIMILAR BLOW-UP SOLUTIONS FOR ZAKHAROV EQUATION IN DIMENSION-2 .1., Communications in Mathematical Physics, 160(1), 1994, pp. 173-215
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
160
Issue
1
Year of publication
1994
Pages
173 - 215
Database
ISI
SICI code
0010-3616(1994)160:1<173:EOSBSF>2.0.ZU;2-C
Abstract
We consider the Zakharov equation in space dimension two [GRAPHICS] We prove the existence of blow-up solutions (stable ''self-similar'' blo w-up solutions) for this problem and we study various properties of th ese solutions.