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On the existence of global smooth solutions for a model equation for fluid flow in a pipe

✍ Scribed by Mitchell Luskin


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
561 KB
Volume
84
Category
Article
ISSN
0022-247X

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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