GAIN OF REGULARITY FOR AN NONLINEAR DISPERSIVE EQUATION KORTEWEG - DE VRIES - BURGERS TYPE
نویسندگان
چکیده
منابع مشابه
An exact solution to the Korteweg-de Vries-Burgers equation
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.
متن کاملGlobal Boundary Stabilization of the Korteweg-de Vries-Burgers Equation∗
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...
متن کاملThe Korteweg-de Vries-Burgers equation and its approximate solution
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...
متن کاملThe tanh method for solutions of the nonlinear modied Korteweg de Vries equation
In this paper, we have studied on the solutions of modied KdV equation andalso on the stability of them. We use the tanh method for this investigationand given solutions are good-behavior. The solution is shock wave and can beused in the physical investigations
متن کاملGlobal controllability of a nonlinear Korteweg-de Vries equation
We are interested in both the global exact controllability to the trajectories and in the global exact controllability of a nonlinear Korteweg-de Vries equation in a bounded interval. The local exact controllability to the trajectories by means of one boundary control, namely the boundary value at the left endpoint, has already been proved independently by L. Rosier and by O. Glass and S. Guerr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 2000
ISSN: 0716-0917
DOI: 10.4067/s0716-09172000000300001