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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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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

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