Article ID Journal Published Year Pages File Type
472829 Computers & Mathematics with Applications 2013 12 Pages PDF
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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Physical Sciences and Engineering Computer Science Computer Science (General)
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