THE LIFE-SPAN FOR 3-D SPHERICALLY SYMMETRICAL COMPRESSIBLE EULER EQUATIONS

Authors
YIN HC QIU QJ
Citation
Hc. Yin et Qj. Qiu, THE LIFE-SPAN FOR 3-D SPHERICALLY SYMMETRICAL COMPRESSIBLE EULER EQUATIONS, Acta Mathematica Sinica, New Series, 14(4), 1998, pp. 527-534
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Acta Mathematica Sinica, New Series
ISSN journal
10009574 → ACNP
Volume
14
Issue
4
Year of publication
1998
Pages
527 - 534
Database
ISI
SICI code
1000-9574(1998)14:4<527:TLF3SS>2.0.ZU;2-M
Abstract
In this paper,we study the lifespan of solutions for three dimensional compressible Euler equations with spherically symmetric initial data that is a small perturbation of amplitude epsilon from a constant stat e. From our result, the classical solutions have to blow up in finite time in spite of any small epsilon.