Unique Continuation Property and Decay for the Korteweg-de-Vries-Burgers Equation With Localized Damping
نویسنده
چکیده
mentioned in [1] as a model for the propagation of one-dimensional, unidirectional small amplitude long waves in nonlinear media. In GKdVB equation, μ, γ > 0 and α is a positive integer is considered, the independent variable x represents the medium of propagation, t is proportional to elapsed time, and u(x, t) is a velocity at the point x at time t. And If ν = 0, α = 1, the GKdVB equation (1) reduces to the Korteweg-de-Vries(KdV) equation, which is a nonlinear dispersive partial differential equation that presents a model of propagation of small amplitude along water in a uniform channel[4-5].
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