Distributed Control of the Generalized Korteweg-de Vries-Burgers Equation
نویسندگان
چکیده
منابع مشابه
Discussion on: ''Adaptive Boundary Control of the Forced Generalized Korteweg-de Vries-Burgers Equation''
This paper considers the adaptive control problem of the forced generalized Korteweg-de Vries-Burgers (GKdVB) equation when the spatial domain is [0,1]. Three different adaptive control laws are designed for the forced GKdVB equation when either the kinematic viscosity or the dynamic viscosity is unknown, or when both viscosities and are unknowns. The L -global exponential stability of the solu...
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The problem of global exponential stabilization by boundary feedback for the Korteweg-de Vries-Burgers equation on the domain [0, 1] is considered. We derive a control law of the form u(0) = ux(1) = uxx(1) − k[u(1)3 + u(1)] = 0, where k is a sufficiently large positive constant, and prove that it guarantees L2-global exponential stability, H3-global asymptotic stability, and H3-semiglobal expon...
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In this letter, applying a series of coordinate transformations, we obtain a new class of solutions of the Korteweg–de Vries–Burgers equation, which arises in the theory of ferroelectricity. © 2005 Elsevier Ltd. All rights reserved.
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This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to da...
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The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initial-boundary setting. The approach consists of replacing the initial-boundary problem by a forced initial value problem. The forcing is selected to satisfy the boundary condition by inverti...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2008
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2008/621672