On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback

On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback

Year:    2010

Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 2 : pp. 194–202

Abstract

In this article, we will investigate the viscous Burgers equation with boundary feedback. The existence of the solution is proved by constructing a convergence sequence inductively. Moreover, the decay property of the solution is shown based on the maximum principle for nonlinear parabolic equations.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v23.n2.5

Journal of Partial Differential Equations, Vol. 23 (2010), Iss. 2 : pp. 194–202

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Burgers equation

  1. On the vortex filament in 3-spaces and its generalizations

    Ding, Qing

    Zhong, Shiping

    Science China Mathematics, Vol. 64 (2021), Iss. 7 P.1331

    https://doi.org/10.1007/s11425-020-1839-5 [Citations: 4]