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Existence and Nonexistence of Global Classical Solutions to Porous Medium and Plasma Equations with Singular Sources

✍ Scribed by Qiu Yi Dai; Li Hui Peng


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
209 KB
Volume
22
Category
Article
ISSN
1439-7617

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πŸ“œ SIMILAR VOLUMES


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## Abstract This paper derives an improved energy inequality for the non‐linear dynamical von KΓ‘rmΓ‘n equations. The existence of global classical solutions is a consequence of this a priori inequality.

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The paper studies the existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation arising in the model in variational form for the neo-Hookean elastomer rod where k 1 ,k 2 > 0 are real numbers, g(s) is a given nonlinear function. When g(s) = s n (where n 2 is