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Blow-up of solutions to a nonlinear dispersive rod equation
Journal article   Peer reviewed

Blow-up of solutions to a nonlinear dispersive rod equation

Yong Zhou
Calculus of variations and partial differential equations, Vol.25(1), pp.63-77
01/01/2006
DOI: https://doi.org/10.1007/s00526-005-0358-1

Abstract

Nonlinear equations
In this paper, firstly we find the best constant for a convolution problem on the unit circle via a variational method. Then we apply the best constant on a nonlinear rod equation to give sufficient conditions on the initial data, which guarantee finite time singularity formation for the corresponding solutions. [PUBLICATION ABSTRACT]

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