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Type: Artigo de periódico
Title: Generalized Solutions To The Kuramoto - Sivashinsky Equation
Author: Biagioni H.A.
Iorio Jr. R.J.
Abstract: In this paper we study generalized solutions in the sense of Colombeau of the following generalization of the Kuramoto - Sivashinsky equation vt+(vx)2/2+δvxxx+β(v xx+vxxxx) = 0, v(0) = φ where φ ∈ script G sign2(ℝ), an algebra of generalized functions containing Hs(ℝ) for all s ∈ ℝ, and δ, β are generalized constants. We prove the existence and uniqueness of solutions in script G sign2((0, T) × ℝ).
Rights: fechado
Identifier DOI: 
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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