On the blow-up phenomenon for a generalized Davey-Stewartson system
Abstract
The blow-up solutions of the Cauchy problem for a generalized Davey–Stewartson system, which models the wave propagation in a bulk medium made of an elastic material with coupled stresses, are investigated. The mass concentration is established for all the blow-up solutions of the system. The profile of the minimal blow-up solutions as t → T (blow-up time) is discussed in detail in terms of the ground state.
Citation
Li, Xiaoguang and Zhang, Jian and Lai, Shaoyong and Wu, Yonghong. 2014. On the blow-up phenomenon for a generalized Davey-Stewartson system. IMA Journal of Applied Mathematics. 79 (2): pp. 326-346.
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IMA Journal of Applied Mathematics
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