Self-similar cosmologies with equation of state p = μ
✍ Scribed by C.B.G. McIntosh
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 180 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
We prove the existence of positive regular solutions of the Cauchy problem for the nonlinear heat equation u t = u + |u| α u, with initial value µV , for all µ > 1 close enough to 1, where V is the singular stationary solution in R N . This result is obtained when N > 2 and 2 N-2 < α < α \* , where
We study the blow-up self-similar solutions of the radially symmetric nonlinear Schrödinger equation (NLS) given by iu t + u rr + d -1 r u r + u|u| 2 , with dimension d > 2. These solutions become infinite in a finite time T . By a series of careful numerical computations, partly supported by analyt