Finite time blow-up for a thin-film equation with initial data at arbitrary energy level
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Authors
Sun, F.
Liu, Lishan
Wu, Yong Hong
Date
2018Type
Journal Article
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Sun, F. and Liu, L. and Wu, Y.H. 2018. Finite time blow-up for a thin-film equation with initial data at arbitrary energy level. Journal of Mathematical Analysis and Applications. 458 (1): pp. 9-20.
Source Title
Journal of Mathematical Analysis and Applications
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School
School of Electrical Engineering, Computing and Mathematical Science (EECMS)
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Abstract
© 2017 In this paper, we consider the initial boundary value problem for a class of thin-film equations in R n with a p-Laplace term and a nonlocal source term |u| q-2 u-[Formula presented]? O |u| q-2 udx. We prove that there exist weak solutions for the problem with arbitrarily initial energy that blow up in finite time. We also obtain the upper bounds for the blow-up time.