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초록
We prove the finite time blow-up for C-1 solutions of the attractive Euler-Poisson equations in R-n, n >= 1, with and without background state, for a large set of 'generic' initial data. We characterize this supercritical set by tracing the spectral dynamics of the deformation and vorticity tensors.
키워드
Euler-Poisson equations; finite time blow-up; CRITICAL THRESHOLDS; DIFFUSION; SINGULARITIES; RELAXATION; SYSTEM; FLUIDS; MODEL
- 제목
- ON THE FINITE TIME BLOW-UP OF THE EULER-POISSON EQUATIONS IN R-N
- 저자
- Chae, Donghao; Tadmor, Eitan
- 발행일
- 2008-09
- 유형
- Article
- 권
- 6
- 호
- 3
- 페이지
- 785 ~ 789