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Comments on universality of critical exponents for fluid systems

โœ Scribed by B. Chu


Publisher
Springer
Year
1972
Tongue
English
Weight
220 KB
Volume
6
Category
Article
ISSN
0022-4715

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Critical Exponents of Fujita Type for In
โœ C Bandle; H.A Levine; Qi S Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

We consider the large-time behavior of sign-changing solutions of inhomogeneous parabolic equations and systems. For example, for u t = u + u p + w x in R n ร— 0 T , we show the following: If n โ‰ฅ 3 and R n w x dx > 0 and 1 < p โ‰ค n/ n -2 , then all solutions blow up in finite time, while if p > n/ n -