Profile of blow-up solution to hyperbolic system with nonlocal term
SCIE
SCOPUS
- Title
- Profile of blow-up solution to hyperbolic system with nonlocal term
- Authors
- Duan, ZW; Kim, KI
- Date Issued
- 2007-06
- Publisher
- SPRINGER HEIDELBERG
- Abstract
- This paper is concerned with a nonlocal hyperbolic system as follows: u(tt) = Delta u + (integral(Omega)vdx)(p) for x is an element of R-N, t > 0, u(tt) = Delta v + (integral(Omega)vdx)(q) for x is an element of R-N, t > 0, u(x,0) = u(0)(x), u(t)(x,0) = u(01)(x) for x is an element of R-N, v(x,0) = v(0)(x), v(t)(x,0) = v(01)(x) for x is an element of R-N, where 1 <= N <= 3, p >= 1, q >= 1 and pq > 1. Here the initial values are compactly supported and Omega subset of R-N is a bounded open region. The blow-up curve, blow-up rate and profile of the solution are discussed.
- Keywords
- hyperbolic system; nonlocal term; blow-up profile; NONLINEAR-WAVE EQUATIONS; GLOBAL-SOLUTIONS; SPACE DIMENSIONS; NONEXISTENCE; SURFACES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29432
- DOI
- 10.1007/S10114-007-0
- ISSN
- 1439-8516
- Article Type
- Article
- Citation
- ACTA MATHEMATICA SINICA-ENGLISH SERIES, vol. 23, no. 6, page. 1083 - 1094, 2007-06
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