Article ID Journal Published Year Pages File Type
838206 Nonlinear Analysis: Real World Applications 2010 11 Pages PDF
Abstract

This paper investigates the problem of boundary control of the viscous Fornberg–Whitham equation. The existence and uniqueness of weak solution to the viscous Fornberg–Whitham equation are proved in a short interval. Moreover, we prove the Fornberg–Whitham equation global exponential stability in L2,H1,H2,H3L2,H1,H2,H3 under the given boundary condition.

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