Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472829 | Computers & Mathematics with Applications | 2013 | 12 Pages |
Abstract
In this paper we study the Cauchy problem for the Boussinesq paradigm equation utt−Δu−β1Δutt+β2Δ2u=Δf(u)utt−Δu−β1Δutt+β2Δ2u=Δf(u), where f(u)=α|u|pf(u)=α|u|p. New functionals are introduced and their sign preserving properties under the flow of the equation are studied. The existence of a global weak solution with supercritical initial energy is proved. The explicit value of the critical energy constant is found.
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Authors
N. Kutev, N. Kolkovska, M. Dimova,